{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 第2章 感知机"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "from sklearn.datasets import load_iris\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# load data\n",
    "iris = load_iris()\n",
    "df = pd.DataFrame(iris.data, columns=iris.feature_names)\n",
    "df['label'] = iris.target"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0    50\n",
       "1    50\n",
       "2    50\n",
       "Name: label, dtype: int64"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.columns = [\n",
    "    'sepal length', 'sepal width', 'petal length', 'petal width', 'label'\n",
    "]\n",
    "df.label.value_counts()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x2be41eee410>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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GLdtSHqXIADiB5Aaw2eHauiYTm3orSip1uLYuQhG1bnVeS9OWlCjQmhf126YtKVHdyaqEAogZJDeAzX69tMTWdmiZtaV7G12x+TZLUnnVEa0t3Ru5oAA4iuQGsFnZntCqZIfaDi1Tub/pxKY57QCYj+QGsFnXDqFVyQ61HVomPSXZ1nYAzEdyA9hsaoj1lkJth5a5MLu9MtOS1dQN3x757pq6MLt9JMMC4CCSG8BmbRPjdWWv9KBtruyVzno3ERIf59HjI32J5IkJTv3zx0f2Yr0bwEVIbgAHzL39giYTHNa5ibyrczKVf9v5ykhrOPSUkZas/NvOZ50bwGWoCg44iBWKzcIKxUDsCuf3m+QGAAAYL5zfb4alAACAq5DcAAAAV6FwJuAgE+Z42BGDCfsBAKEiuQEcYkIVajtiMGE/ACAcDEsBDjChCrUdMZiwHwAQLpIbwGYmVKG2IwYT9gMAmoPkBrCZCVWo7YjBhP0AgOYguQFsZkIVajtiMGE/AKA5SG4Am5lQhdqOGEzYDwBoDpIbwGYmVKG2IwYT9gMAmoPkBrCZCVWo7YjBhP0AgOYguQEcYEIVajtiMGE/ACBcFM4EHGTCyr6sUAzADcL5/WaFYsBB8XEe5X6vQ8zHYMJ+AECoGJYCAACuQnIDAABchWEpNOCWuRXMMwGA1ovkBn5uqf5MJWwAaN0YloIk91R/phI2AIDkBq6p/kwlbACARHIDuaf6M5WwAQASyQ3knurPVMIGAEgkN5B7qj9TCRsAIJHcQO6p/kwlbACARHIDuaf6M5WwAQASyQ2+4Zbqz1TCBgBQFRwNuGVVXlYoBgB3oSo4ms0t1Z+phA0ArRfDUgAAwFVIbgAAgKswLAU0ofaYV6+tLtOOvYfUpX07jcrtqsSE8P490NLPcMu8H7fsB4DYENUJxfn5+crPz1dZWZkkqXfv3nrsscc0fPjwgO0LCwt12WWXNdq+detW9ejRI6TvZEIxQpG3tERzV5Xq2yWk4jzS2MHZmjKiV0Q+wy2Vyd2yHwCiK5zf76gOS5155pmaPn261q9fr/Xr1+vyyy/X9ddfr08++STo+7Zt26by8nL/o1u3bhGKGK1B3tIS/d/KhkmJJHkt6f9WlipvaYnjn+GWyuRu2Q8AsSWqyc3IkSM1YsQInXPOOTrnnHP01FNP6dRTT9WaNWuCvi89PV0ZGRn+R3x8fIQihtvVHvNq7qrSoG3mripV7TGvY5/hlsrkbtkPALHHmAnFdXV1WrBggQ4ePKjc3Nygbfv166fMzEwNHTpU77//ftC2NTU1qq6ubvAAmvLa6rJGV1tO5LV87Zz6DLdUJnfLfgCIPVFPbjZv3qxTTz1VSUlJGjdunN5880316hV4PkJmZqbmzJmjgoICLVq0SN27d9fQoUO1cuXKJj8/Ly9PaWlp/kdWVpZTuwIX2LH3UIvbtfQz3FKZ3C37ASD2RP1uqe7du6u4uFhff/21CgoKdMcdd6ioqChggtO9e3d1797d/zw3N1e7du3SM888oyFDhgT8/ClTpmjSpEn+59XV1SQ4aFKX9u1a3K6ln+GWyuRu2Q8AsSfqV24SExN19tlna8CAAcrLy1Pfvn31/PPPh/z+gQMHavv27U2+npSUpNTU1AYPoCmjcrvqZHcox3l87Zz6DLdUJnfLfgCIPVFPbk5kWZZqampCbr9p0yZlZnI7KeyRmBCnsYOzg7YZOzg76Fo1Lf0Mt1Qmd8t+AIg9zRqWeu+99/Tee++psrJSXm/DOz5efvnlkD9n6tSpGj58uLKysrR//34tWLBAhYWFWrZsmSTfkNLu3bs1b948SdLMmTPVtWtX9e7dW7W1tZo/f74KCgpUUFDQnN0AAqpfg6Yla9S09DPqK5OfuD5MRoytD+OW/QAQW8JObqZNm6Zf/vKXGjBggDIzM+XxNP9fXf/97381atQolZeXKy0tTX369NGyZct05ZVXSpLKy8u1c+dOf/va2lo9+OCD2r17t9q2bavevXvrb3/7m0aMGNHsGIBApozopZ8N69Gi1YVb+hlX52Tqyl4ZMb+yr1v2A0DsCHuF4szMTD399NMaNWqUUzE5ihWKAQCIPY6uUFxbW6tBgwY1OzgAAAAnhZ3cjBkzRq+//roTsQAAALRYSHNuvr1OjNfr1Zw5c/T3v/9dffr0UZs2bRq0fe655+yNEBFlQvVmO6pxmxJHS/vThOMhmXNM8A1vnbTjQ+nAf6VTO0pdBklxlKEB6oU05yZQJe6mnKwcQrQx56ZpJlRvtqMatylxtLQ/TTgekjnHBN8oWSwtmyxVf3F8W2on6eoZUq/rohcX4LBwfr/DnlAc60huAquv3nziyVB/jSD/tvMd/0Gtr6TdlJ8MicyPqR1xtLQ/TTgekjnHBN8oWSz95XapqTPjh/NIcOBajk4ovvvuu7V///5G2w8ePKi777473I+DAUyo3mxHNW5T4mhpf5pwPCRzjgm+4a3zXbEJdmYse8jXDmjlwk5u/vjHP+rw4cONth8+fNi/2B5iiwnVm+2oxm1KHC3tTxOOh2TOMcE3dnzYcCiqEUuq3u1rB7RyIS/iV11dLcuyZFmW9u/fr+Tk48Xu6urqtHTpUqWnpzsSJJxlQvVmO6pxmxJHS/vThOMhmXNM8I0D/7W3HeBiISc3p512mjwejzwej84555xGr3s8Hk2bNs3W4BAZJlRvtqMatylxtLQ/TTgekjnHBN84taO97QAXCzm5ef/992VZli6//HIVFBSoffvjlXwTExPVpUsXderUyZEg4az66s0VVUcCjuZ75KsF5GT15lG5XfXU0q1Bh0FOVo3blDha2p8mHA/JnGOCb3QZ5LsrqrpcgefdeHyvd2GRVSDkOTeXXHKJLr30UpWWluqGG27QJZdc4n/k5uaS2MQwE6o321GN25Q4WtqfJhwPyZxjgm/Exftu95bU5Jlx9XTWuwEU4q3gH3/8ccgf2KdPnxYF5DRuBW+aCeuqmLKmCuvcHGfKMcE3Aq5z811fYsNt4HAx29e5iYuLk8fjkWVZJ60CXldn9m2IJDfBmbAirimr4bJC8XGmHBN8gxWK0QrZntzs2LHD/+dNmzbpwQcf1M9//nPl5uZKklavXq1nn31WTz/9tG644YaWRe8wkhsAAGJPOL/fIU0o7tKli//PN998s2bNmqURI0b4t/Xp00dZWVl69NFHjU9uAACAu4V9XXnz5s3Kzm48yTA7O1slJSW2BAUAANBcYSc3PXv21JNPPqkjR45PcqypqdGTTz6pnj172hocEE11XkurP9ujt4t3a/Vne5pV7sCOzwBcy1snla6SNi/0/ZfSEbBJyOvc1Js9e7ZGjhyprKws9e3bV5L0r3/9Sx6PR3/9619tDxCIBjvuVDLlbifASFQ3h4OaVRX80KFDmj9/vj799FNZlqVevXrpxz/+sU455RQnYrQVE4pxMnZU5DalqjdgJKqboxlsv1vKTUhuEEyd19LFM/7RZOHK+tWB/zn58iZvybbjMwDX8tZJM3OCFAH9ZqXl+zdzezsasP1uqcWLF2v48OFq06aNFi9eHLTtddeRbSN2hVORO/d7HRz7DMC1wqlunj04YmHBXUJKbm644QZVVFQoPT096K3eHo/H+EX8gGDsqMhtSlVvwEhUN0cEhJTceL3egH8G3MaOitymVPUGjER1c0RA2LeCHzp0yIk4ACPUV+RuaiaMR747noJV5LbjMwDXqq9uHuxvSOp3qW6OFgk7uTnttNM0aNAgTZ06Ve+++64OHjzoRFxAVNhRkduUqt6AkahujggIO7kpKirSddddp40bN+rmm2/W6aefroEDB+qhhx7SO++840SMQERdnZOp/NvOV0Zaw2GjjLTkkG/htuMzANfqdZ3vdu/UE/4epHbiNnDYokW3gtfV1WndunWaPXu2/vSnP8nr9Ro/oZhbwREqOypym1LVGzAS1c0RBttvBT/Rp59+qsLCQhUVFamwsFBHjx7VyJEjdckllzQrYMBE8XGeFt+qbcdnAK4VF8/t3nBE2MlNRkaGjh49qssvv1yXXnqppk6dqnPPPdeJ2AAAAMIW9pybjIwMHThwQDt37tTOnTv1//7f/9OBAweciA0AACBsYV+5KS4u1tdff62VK1eqqKhIjz76qD755BP16dNHl112maZPn+5EnK2CCfMz7Iih9phXr60u0469h9SlfTuNyu2qxISw8+ioM+F4wIWYZ2Iv+tMshhyPFk0o3rt3rwoLC/X222/r9ddfZ0JxC5hQQdqOGPKWlmjuqlJ5v3VWxXmksYOzNWVEL7tDdowJxwMuRCVse9GfZnH4eDhaOPPNN99UYWGhCgsL9cknn6hDhw4aPHiwLr30Ul122WXq3bt3i4J3monJjQkVpO2IIW9pif5vZWmTr/9kSGwkOCYcD7gQlbDtRX+aJQLHw9HkJj09XUOGDNGll16qSy+9VDk5OS0KNtJMS25MqCBtRwy1x7zq8eg7Da7YnCjOI336q+FGD1GZcDzgQlTCthf9aZYIHY9wfr/D/pWprKzUwoULNWHChJhLbEwUTgVpk2N4bXVZ0MRGkryWr53JTDgecKFwKmHj5OhPsxh4PMz9J3QrYUIFaTti2LE3tJpjobaLFhOOB1yIStj2oj/NYuDxILmJMhMqSNsRQ5f27UL6jFDbRYsJxwMuRCVse9GfZjHweJDcRJkJFaTtiGFUbledbApKnMfXzmQmHA+4EJWw7UV/msXA40FyE2UmVJC2I4bEhDiNHZwd9HvGDs42ejKxZMbxgAtRCdte9KdZDDweZv/StBImVJC2I4YpI3rpJ0OyG13BifPEzm3gkhnHAy5EJWx70Z9mMex4hHQr+I033hjyBy5atKhFATnNtFvBv82EFXFZofg4E44HXMiQFVxdg/40i4PHw/aq4GlpabYEhuBMqCBtRwyJCXEaPfgsmyKKHhOOB1yIStj2oj/NYsjxCCm5eeWVV5yOAwAAwBaxN1YAAAAQRNhVwSVp4cKF+stf/qKdO3eqtra2wWsbN260JTBEhwnzTJj3A6DVOVYrrZsr7SuTTu8qXTBWSkiMbAwumr8UdnIza9YsPfzww7rjjjv09ttv66677tJnn32mdevWafz48U7EiAgxoRK2U5XJn1q6NeYqkwNoJZY/Kq1+QbK839r2iJQ7QRr2q8jE4LIK62EXzuzRo4cef/xx/e///q9SUlL0r3/9S2eddZYee+wx7d27Vy+88IJTsdrC5LulosmESthUJgfQ6ix/VPpwVtOvD5rofIITIxXWHS2cuXPnTg0a5FtlsG3bttq/f78kadSoUXrjjTeaES6irc5radqSkkantXT8VJ+2pER1J6uMGeUYao95NXdV04mNJM1dVaraY96gbQAgIo7V+q7YBLP6RV87p3jrfFdsgv3fd9lDvnYxJOzkJiMjQ3v27JEkdenSRWvWrJEklZaWKsyLQDCECZWwqUwOoNVZN7fhUFQgVp2vnVMMrOhth7CTm8svv1xLliyRJI0ePVoPPPCArrzySt1yyy36wQ9+YHuAcJ4JlbCpTA6g1dlXZm+75jCworcdwp5QPGfOHHm9vkxz3Lhxat++vf75z39q5MiRGjdunO0BwnkmVMKmMjmAVuf0rva2aw4DK3rbIewrN3FxcUpIOJ4T/fCHP9SsWbM0ceJEJSZG+LY12MKESthUJgfQ6lwwVvKc5GfYE+9r5xQDK3rboVkLf+zbt0/PPPOMRo8erTFjxujZZ5/V3r3OzceAs0yohE1lcgCtTkKi73bvYHLHO7vejYEVve0Q9v/li4qKlJ2drVmzZmnfvn3au3evZs2apezsbBUVFTkRIyLAhErYVCYH0OoM+5Xvdu8Tr+B44iNzG7hkXEVvO4S9zk1OTo4GDRqk/Px8xcf7Mrm6ujrde++9+uCDD7RlyxZHArUL69wExwrFABAFrFB8UuH8foed3LRt21bFxcXq3r17g+3btm3Teeedp8OHD4cfcQSR3AAAEHscXcTv/PPP19atWxtt37p1q84777xwPw4AAMBWYd8KPnHiRN133336z3/+o4EDB0qS1qxZoxdffFHTp0/Xxx9/7G/bp08f+yIFAAAIQdjDUnFxwS/2eDweWZYlj8ejujrzlmt2aljKjnkiJsx3MYEd82U4HjYzYSzejjkJJuyHCTGYFIcb2NGXHI+TCuf3O+wrN6WlwWv3hCM/P1/5+fkqKyuTJPXu3VuPPfaYhg8f3uR7ioqKNGnSJH3yySfq1KmTfvGLX0R98UA7KlmbUJHbBHZU9OZ42MyEasF2VE02YT9MiMGkONzAjr7keNgu7Cs3dlqyZIni4+N19tlnS5L++Mc/6je/+Y02bdqk3r17N2pfWlqqnJwcjR07Vj/5yU/0wQcf6N5779Ubb7yhm266KaTvtPvKjR2VrE2oyG0COyp6czxsZkK1YDuqJpuwHybEYFIcbmBHX3I8QubohGJJeu2113TRRRepU6dO2rFjhyRp5syZevvtt8P6nJEjR2rEiBE655xzdM455+ipp57Sqaee6i/GeaLZs2erc+fOmjlzpnr27KkxY8bo7rvv1jPPPNOc3WgxOypZm1CR2wR2VPTmeNjMhGrBdlRNNmE/TIjBpDjcwI6+5Hg4JuzkJj8/X5MmTdKIESP09ddf++fVnHbaaZo5c2azA6mrq9OCBQt08OBB5ebmBmyzevVqDRs2rMG2q666SuvXr9fRo0cDvqempkbV1dUNHnaxo5K1CRW5TWBHRW+Oh81MqBZsR9VkE/bDhBhMisMN7OhLjodjwk5ufve732nu3Ll6+OGH/Yv4SdKAAQO0efPmsAPYvHmzTj31VCUlJWncuHF688031atX4KGHiooKdezYsHhXx44ddezYMX311VcB35OXl6e0tDT/IysrK+wYm2JHJWsTKnKbwI6K3hwPm5lQLdiOqskm7IcJMZgUhxvY0ZccD8eEndyUlpaqX79+jbYnJSXp4MGDYQfQvXt3FRcXa82aNbrnnnt0xx13qKSkpMn2Hk/Du1XqpwyduL3elClTVFVV5X/s2rUr7BibYkclaxMqcpvAjoreHA+bmVAt2I6qySbshwkxmBSHG9jRlxwPx4Sd3GRnZ6u4uLjR9nfeeafJKy7BJCYm6uyzz9aAAQOUl5envn376vnnnw/YNiMjQxUVFQ22VVZWKiEhQR06dAj4nqSkJKWmpjZ42MWOStYmVOQ2gR0VvTkeNjOhWrAdVZNN2A8TYjApDjewoy85Ho4JO7n5+c9/rvHjx+vPf/6zLMvS2rVr9dRTT2nq1Kn6+c9/3uKALMtSTU1NwNdyc3O1YsWKBtuWL1+uAQMGqE2bNi3+7nDZUcnahIrcJrCjojfHw2YmVAu2o2qyCfthQgwmxeEGdvQlx8MxYSc3d911lx5//HH94he/0KFDh/TjH/9Ys2fP1vPPP68f/ehHYX3W1KlTtWrVKpWVlWnz5s16+OGHVVhYqFtvvVWSb0jp9ttv97cfN26cduzYoUmTJmnr1q16+eWX9dJLL+nBBx8MdzdsY0claxMqcpvAjoreHA+bmVAt2I6qySbshwkxmBSHG9jRlxwPR7RonZuvvvpKXq9X6enpzXr/6NGj9d5776m8vFxpaWnq06ePJk+erCuvvFKSdOedd6qsrEyFhYX+9xQVFemBBx7wL+I3efLksBbxY4Vi87FCsYFMWD2VFYrdGYcbsEJxRDhaFfzw4cOyLEvt2vkmdu7YscN/h9OJt2mbiKrgAADEHkcX8bv++us1b948SdLXX3+tCy+8UM8++6yuv/565efnNy9iAAAAm4Sd3GzcuFGDBw+WJC1cuFAZGRnasWOH5s2bp1mzgiyRDgAAEAFhF848dOiQUlJSJPnuVLrxxhsVFxengQMH+ksxoHmY4wEEwbyG40zoC1P60oQ4TIgBDYSd3Jx99tl666239IMf/EDvvvuuHnjgAUm+9WaYw9J8VKEGgqDy8nEm9IUpfWlCHCbEgEbCnlC8cOFC/fjHP1ZdXZ2GDh2q5cuXS/KVOVi5cqXeeecdRwK1i4kTiqlCDQRB5eXjTOgLU/rShDhMiKEVcfRuKclX46m8vFx9+/ZVXJxv2s7atWuVmpqqHj16NC/qCDEtuanzWrp4xj+aLNbokW99lX9OvpwhKrQ+3jppZk6Q4oIe37+S79/c9DCAHZ9hAhP6wpS+NCEOE2JoZRy9W0rylUHo16+fP7GRpAsvvND4xMZEVKEGgqDy8nEm9IUpfWlCHCbEgCY1K7mBfahCDQRB5eXjTOgLU/rShDhMiAFNIrmJMqpQA0FQefk4E/rClL40IQ4TYkCTSG6ijCrUQBBUXj7OhL4wpS9NiMOEGNAkkpsoowo1EASVl48zoS9M6UsT4jAhBjSJ5MYAVKEGgqDy8nEm9IUpfWlCHCbEgIBaVBU8Fpl2K/i3sUIxEIQJq/KawoS+MKUvTYjDhBhaAcfXuYllJic3AAAgMMfXuQEAADAVyQ0AAHCVsAtnAkDMOlYrrZsr7SuTTu8qXTBWSkiMdlTRQV/4uGW+jFv2wybMuQHQOix/VFr9gmR5j2/zxEm5E6Rhv4peXNFAX/i4paK3W/bjJJhzAwDftvxR6cNZDX/MJd/zD2f5Xm8t6Auf+oreJ9aHqi73bS9ZHJ24wuWW/bAZyQ0AdztW67tKEczqF33t3I6+8PHW+a50KNDAxTfblj3ka2cyt+yHA0huALjburmNr1KcyKrztXM7+sLHLRW93bIfDiC5AeBu+8rsbRfL6Asft1T0dst+OIDkBoC7nd7V3naxjL7wcUtFb7fshwNIbgC42wVjfXcCBeOJ97VzO/rCxy0Vvd2yHw4guQHgbgmJvlucg8kd3zrWeKEvfNxS0dst++EAkhsA7jfsV9KgiY2vWnjifdtb09ou9IWPWyp6u2U/bMYifgBaD1blPY6+8HHLyr5u2Y8gqAoeBMkNAACxhxWKAQBAq0VyAwAAXIWq4IDJWsE4eshM6AtT5qmY0BeAwUhuAFO1kkq/ITGhLwJV0l7+SOQraZvQF4DhGJYCTESl3+NM6AtTKmmb0BdADCC5AUxDpd/jTOgLUyppm9AXQIwguQFMQ6Xf40zoC1MqaZvQF0CMILkBTEOl3+NM6AtTKmmb0BdAjCC5AUxDpd/jTOgLUyppm9AXQIwguQFMQ6Xf40zoC1MqaZvQF0CMILkBTEOl3+NM6AtTKmmb0BdAjCC5AUxEpd/jTOgLUyppm9AXQAygcCZgMlaiPc6EvmCFYiBqqAoeBMkNAACxh6rgAACg1SK5AQAArkLhTADOM2WOSEvjMGU/AARFcgPAWaZUsW5pHKbsB4CTYlgKgHNMqWLd0jhM2Q8AISG5AeAMU6pYtzQOU/YDQMhIbgA4w5Qq1i2Nw5T9ABAykhsAzjClinVL4zBlPwCEjOQGgDNMqWLd0jhM2Q8AISO5AeAMU6pYtzQOU/YDQMhIbgA4w5Qq1i2Nw5T9ABAykhsAzjGlinVL4zBlPwCEhMKZAJxnysq+rFAMxKxwfr9ZoRiA8+LipezB0Y6i5XGYsh8AgmJYCgAAuArJDQAAcBWGpQAnMUfDx45+oC/dh2MKh0Q1ucnLy9OiRYv06aefqm3btho0aJBmzJih7t27N/mewsJCXXbZZY22b926VT169HAyXCA8VJH2saMf6Ev34ZjCQVEdlioqKtL48eO1Zs0arVixQseOHdOwYcN08ODBk75327ZtKi8v9z+6desWgYiBEFFF2seOfqAv3YdjCocZdSv4l19+qfT0dBUVFWnIkCEB29Rfudm3b59OO+20sL+DW8HhOG+dNDMnSLFFj+9fqPdvdvcleDv6gb50H44pmimc32+jJhRXVVVJktq3b3/Stv369VNmZqaGDh2q999/v8l2NTU1qq6ubvAAHEUVaR87+oG+dB+OKSLAmOTGsixNmjRJF198sXJycppsl5mZqTlz5qigoECLFi1S9+7dNXToUK1cuTJg+7y8PKWlpfkfWVlZTu0C4EMVaR87+oG+dB+OKSLAmLulJkyYoI8//lj//Oc/g7br3r17gwnHubm52rVrl5555pmAQ1lTpkzRpEmT/M+rq6tJcOAsqkj72NEP9KX7cEwRAUZcufnpT3+qxYsX6/3339eZZ54Z9vsHDhyo7du3B3wtKSlJqampDR6Ao6gi7WNHP9CX7sMxRQRENbmxLEsTJkzQokWL9I9//EPZ2dnN+pxNmzYpMzPz5A2BSKCKtI8d/UBfug/HFBEQ1eRm/Pjxmj9/vl5//XWlpKSooqJCFRUVOnz4sL/NlClTdPvtt/ufz5w5U2+99Za2b9+uTz75RFOmTFFBQYEmTJgQjV0AAqOKtI8d/UBfug/HFA6L6q3gHk/gy5KvvPKK7rzzTknSnXfeqbKyMhUWFkqSnn76ac2ZM0e7d+9W27Zt1bt3b02ZMkUjRowI6Tu5FRwRxQqsPqxQjEA4pghDOL/fRq1zEwkkNwAAxJ6YXecGAACgpUhuAACAqxizzg1gK8byzXKsVlo3V9pXJp3eVbpgrJSQGO2oALgUyQ3ch2rDZln+qLT6BcnyfmvbI1LuBGnYr6IXFwDXYlgK7kK1YbMsf1T6cFbDxEbyPf9wlu91ALAZyQ3cw1vnu2KjQDcAfrNt2UO+dnDesVrfFZtgVr/oawcANiK5gXtQbdgs6+Y2vmJzIqvO1w4AbERyA/eg2rBZ9pXZ2w4AQkRyA/eg2rBZTu9qbzsACBHJDdyDasNmuWCs5DnJ/2I88b52AGAjkhu4B9WGzZKQ6LvdO5jc8ax3A8B2JDdwF6oNm2XYr6RBExtfwfHE+7azzg0AB1A4E+7ECsVmYYViAC0Uzu83KxTDneLipezB0Y4C9RISfUNQABABDEsBAABXIbkBAACuwrCUi9R5La0t3avK/UeUnpKsC7PbKz6uqduicVLM27EPfYlAOC/gEJIbl1i2pVzTlpSovOqIf1tmWrIeH9lLV+dkBnknAqKyuH3oSwTCeQEHMSzlAsu2lOue+RsbJDaSVFF1RPfM36hlW8qjFFmMorK4fehLBMJ5AYeR3MS4Oq+laUtKgtXB1rQlJarztqo7/puPyuL2oS8RCOcFIoDkJsatLd3b6IrNt1mSyquOaG3p3sgFFcuoLG4f+hKBcF4gAkhuYlzl/qYTm+a0a/WoLG4f+hKBcF4gAkhuYlx6SrKt7Vo9Kovbh75EIJwXiACSmxh3YXZ7ZaYlB6uDrcw0323hCAGVxe1DXyIQzgtEAMlNjIuP8+jxkb0kNVkHW4+P7MV6N6Gisrh96EsEwnmBCCC5cYGrczKVf9v5ykhrOPSUkZas/NvOZ52bcFFZ3D70JQLhvIDDqAruIqxQbDNWT7UPfYlAOC8QhnB+v0luAACA8cL5/WZYCgAAuArJDQAAcBUKZwJArDFhrooJMQBNILkBgFhiQjVtE2IAgmBYCgBihQnVtE2IATgJkhsAiAUmVNM2IQYgBCQ3ABALTKimbUIMQAhIbgAgFphQTduEGIAQkNwAQCwwoZq2CTEAISC5AYBYYEI1bRNiAEJAcgMAscCEatomxACEgOQGAGKFCdW0TYgBOAkKZwJArDFhdWATYkCrEs7vNysUA0CsiYuXsgcTA9AEhqUAAICrkNwAAABXIbkBAACuQnIDAABcheQGAAC4CskNAABwFZIbAADgKiQ3AADAVUhuAACAq5DcAAAAVyG5AQAArkJyAwAAXIXkBgAAuArJDQAAcBWSGwAA4CokNwAAwFUSoh0AYCxvnbTjQ+nAf6VTO0pdBklx8dGOCgBwElG9cpOXl6cLLrhAKSkpSk9P1w033KBt27ad9H1FRUXq37+/kpOTddZZZ2n27NkRiBatSsliaWaO9MdrpYLRvv/OzPFtBwAYLarJTVFRkcaPH681a9ZoxYoVOnbsmIYNG6aDBw82+Z7S0lKNGDFCgwcP1qZNmzR16lRNnDhRBQUFEYwcrlayWPrL7VL1Fw23V5f7tpPgAIDRPJZlWdEOot6XX36p9PR0FRUVaciQIQHbTJ48WYsXL9bWrVv928aNG6d//etfWr169Um/o7q6WmlpaaqqqlJqaqptscMlvHW+KzQnJjZ+Him1k3T/ZoaoACCCwvn9NmpCcVVVlSSpffv2TbZZvXq1hg0b1mDbVVddpfXr1+vo0aON2tfU1Ki6urrBA2jSjg+DJDaSZEnVu33tAABGMia5sSxLkyZN0sUXX6ycnJwm21VUVKhjx44NtnXs2FHHjh3TV1991ah9Xl6e0tLS/I+srCzbY4eLHPivve0AABFnTHIzYcIEffzxx3rjjTdO2tbj8TR4Xj+yduJ2SZoyZYqqqqr8j127dtkTMNzp1I4nbxNOOwBAxBlxK/hPf/pTLV68WCtXrtSZZ54ZtG1GRoYqKioabKusrFRCQoI6dOjQqH1SUpKSkpJsjRcu1mWQb05NdbmkQNPRvplz02VQpCMDAIQoqlduLMvShAkTtGjRIv3jH/9Qdnb2Sd+Tm5urFStWNNi2fPlyDRgwQG3atHEqVLQWcfHS1TO+eXLilcBvnl89ncnEAGCwqCY348eP1/z58/X6668rJSVFFRUVqqio0OHDh/1tpkyZottvv93/fNy4cdqxY4cmTZqkrVu36uWXX9ZLL72kBx98MBq7ADfqdZ30w3lSambD7amdfNt7XReduAAAIYnqreCB5shI0iuvvKI777xTknTnnXeqrKxMhYWF/teLior0wAMP6JNPPlGnTp00efJkjRs3LqTv5FZwhIwVigHAGOH8fhu1zk0kkNwAABB7YnadGwAAgJYiuQEAAK5CcgMAAFyF5AYAALgKyQ0AAHAVkhsAAOAqJDcAAMBVSG4AAICrkNwAAABXMaIqeCTVL8hcXV0d5UgAAECo6n+3Qyms0OqSm/3790uSsrKyohwJAAAI1/79+5WWlha0TaurLeX1evXFF18oJSWlycKdsay6ulpZWVnatWsXtbNsQH/ah760F/1pH/rSXk71p2VZ2r9/vzp16qS4uOCzalrdlZu4uDideeaZ0Q7DcampqfwltRH9aR/60l70p33oS3s50Z8nu2JTjwnFAADAVUhuAACAq5DcuExSUpIef/xxJSUlRTsUV6A/7UNf2ov+tA99aS8T+rPVTSgGAADuxpUbAADgKiQ3AADAVUhuAACAq5DcAAAAVyG5iWF5eXnyeDy6//77m2xTWFgoj8fT6PHpp59GLlBDPfHEE436JSMjI+h7ioqK1L9/fyUnJ+uss87S7NmzIxSt2cLtS87Lk9u9e7duu+02dejQQe3atdN5552nDRs2BH0P52dg4fYl52fTunbtGrBvxo8f3+R7onFetroVit1i3bp1mjNnjvr06RNS+23btjVYKfKMM85wKrSY0rt3b/3973/3P4+Pj2+ybWlpqUaMGKGxY8dq/vz5+uCDD3TvvffqjDPO0E033RSJcI0WTl/W47wMbN++fbrooot02WWX6Z133lF6ero+++wznXbaaU2+h/MzsOb0ZT3Oz8bWrVunuro6//MtW7boyiuv1M033xywfbTOS5KbGHTgwAHdeuutmjt3rp588smQ3pOenh7SX+bWJiEh4aRXa+rNnj1bnTt31syZMyVJPXv21Pr16/XMM8+06h+PeuH0ZT3Oy8BmzJihrKwsvfLKK/5tXbt2Dfoezs/AmtOX9Tg/GzsxwZs+fbq+973v6ZJLLgnYPlrnJcNSMWj8+PG65pprdMUVV4T8nn79+ikzM1NDhw7V+++/72B0sWX79u3q1KmTsrOz9aMf/Uiff/55k21Xr16tYcOGNdh21VVXaf369Tp69KjToRovnL6sx3kZ2OLFizVgwADdfPPNSk9PV79+/TR37tyg7+H8DKw5fVmP8zO42tpazZ8/X3fffXeThaijdV6S3MSYBQsWaOPGjcrLywupfWZmpubMmaOCggItWrRI3bt319ChQ7Vy5UqHIzXf97//fc2bN0/vvvuu5s6dq4qKCg0aNEh79uwJ2L6iokIdO3ZssK1jx446duyYvvrqq0iEbKxw+5LzMrjPP/9c+fn56tatm959912NGzdOEydO1Lx585p8D+dnYM3pS87P0Lz11lv6+uuvdeeddzbZJmrnpYWYsXPnTis9Pd0qLi72b7vkkkus++67L6zPufbaa62RI0faHF3sO3DggNWxY0fr2WefDfh6t27drF//+tcNtv3zn/+0JFnl5eWRCDFmnKwvA+G8PK5NmzZWbm5ug20//elPrYEDBzb5Hs7PwJrTl4FwfjY2bNgw69prrw3aJlrnJVduYsiGDRtUWVmp/v37KyEhQQkJCSoqKtKsWbOUkJDQYJJXMAMHDtT27dsdjjb2nHLKKTr33HOb7JuMjAxVVFQ02FZZWamEhAR16NAhEiHGjJP1ZSCcl8dlZmaqV69eDbb17NlTO3fubPI9nJ+BNacvA+H8bGjHjh36+9//rjFjxgRtF63zkuQmhgwdOlSbN29WcXGx/zFgwADdeuutKi4uDunuFEnatGmTMjMzHY429tTU1Gjr1q1N9k1ubq5WrFjRYNvy5cs1YMAAtWnTJhIhxoyT9WUgnJfHXXTRRdq2bVuDbf/+97/VpUuXJt/D+RlYc/oyEM7Phl555RWlp6frmmuuCdouauelY9eEEBEnDks99NBD1qhRo/zPf/vb31pvvvmm9e9//9vasmWL9dBDD1mSrIKCgihEa5af/exnVmFhofX5559ba9assa699lorJSXFKisrsyyrcV9+/vnnVrt27awHHnjAKikpsV566SWrTZs21sKFC6O1C8YIty85L4Nbu3atlZCQYD311FPW9u3brT/96U9Wu3btrPnz5/vbcH6Gpjl9yfkZXF1dndW5c2dr8uTJjV4z5bwkuYlxJyY3d9xxh3XJJZf4n8+YMcP63ve+ZyUnJ1unn366dfHFF1t/+9vfIh+ogW655RYrMzPTatOmjdWpUyfrxhtvtD755BP/6yf2pWVZVmFhodWvXz8rMTHR6tq1q5Wfnx/hqM0Ubl9yXp7ckiVLrJycHCspKcnq0aOHNWfOnAavc36GLty+5PwM7t1337UkWdu2bWv0minnpceyLMu560IAAACRxZwbAADgKiQ3AADAVUhuAACAq5DcAAAAVyG5AQAArkJyAwAAXIXkBgAAuArJDQAAcBWSGwAx5c4779QNN9zQ5OuvvvqqTjvttIjFczJdu3bVzJkzox0G0KqQ3ACADUxLqoDWjOQGAAC4CskNgJAtXLhQ5557rtq2basOHTroiiuu0MGDB/2vv/LKK+rZs6eSk5PVo0cP/f73v/e/VlZWJo/HowULFmjQoEFKTk5W7969VVhY6G9TV1en0aNHKzs7W23btlX37t31/PPPtzjuJUuWqH///kpOTtZZZ52ladOm6dixY/7XPR6P/vCHP+gHP/iB2rVrp27dumnx4sUNPmPx4sXq1q2b2rZtq8suu0x//OMf5fF49PXXX6uwsFB33XWXqqqq5PF45PF49MQTT/jfe+jQId19991KSUlR586dNWfOnBbvE4AgHC/NCcAVvvjiCyshIcF67rnnrNLSUuvjjz+2XnzxRWv//v2WZVnWnDlzrMzMTKugoMD6/PPPrYKCAqt9+/bWq6++almWZZWWllqSrDPPPNNauHChVVJSYo0ZM8ZKSUmxvvrqK8uyLKu2ttZ67LHHrLVr11qff/65NX/+fKtdu3bWn//8Z38cd9xxh3X99dc3Gecrr7xipaWl+Z8vW7bMSk1NtV599VXrs88+s5YvX2517drVeuKJJ/xt6uN6/fXXre3bt1sTJ060Tj31VGvPnj3+2Nu0aWM9+OCD1qeffmq98cYb1ne/+11LkrVv3z6rpqbGmjlzppWammqVl5db5eXl/n7p0qWL1b59e+vFF1+0tm/fbuXl5VlxcXHW1q1bbTkuABojuQEQkg0bNliSrLKysoCvZ2VlWa+//nqDbb/61a+s3Nxcy7KOJzfTp0/3v3706FHrzDPPtGbMmNHk9957773WTTfd5H8ebnIzePBg69e//nWDNq+99pqVmZnpfy7JeuSRR/zPDxw4YHk8Huudd96xLMuyJk+ebOXk5DT4jIcfftif3AT63npdunSxbrvtNv9zr9drpaenW/n5+U3uA4CWSYjiRSMAMaRv374aOnSozj33XF111VUaNmyY/ud//kenn366vvzyS+3atUujR4/W2LFj/e85duyY0tLSGnxObm6u/88JCQkaMGCAtm7d6t82e/Zs/eEPf9COHTt0+PBh1dbW6rzzzmt23Bs2bNC6dev01FNP+bfV1dXpyJEjOnTokNq1aydJ6tOnj//1U045RSkpKaqsrJQkbdu2TRdccEGDz73wwgtDjuHbn+3xeJSRkeH/bAD2I7kBEJL4+HitWLFCH374oZYvX67f/e53evjhh/XRRx/5E4S5c+fq+9//fqP3nYzH45Ek/eUvf9EDDzygZ599Vrm5uUpJSdFvfvMbffTRR82O2+v1atq0abrxxhsbvZacnOz/c5s2bRrF5PV6JUmWZfljrGdZVsgxBPtsAPYjuQEQMo/Ho4suukgXXXSRHnvsMXXp0kVvvvmmJk2apO9+97v6/PPPdeuttwb9jDVr1mjIkCGSfFd2NmzYoAkTJkiSVq1apUGDBunee+/1t//ss89aFPP555+vbdu26eyzz272Z/To0UNLly5tsG39+vUNnicmJqqurq7Z3wHAPiQ3AELy0Ucf6b333tOwYcOUnp6ujz76SF9++aV69uwpSXriiSc0ceJEpaamavjw4aqpqdH69eu1b98+TZo0yf85L774orp166aePXvqt7/9rfbt26e7775bknT22Wdr3rx5evfdd5Wdna3XXntN69atU3Z2drPjfuyxx3TttdcqKytLN998s+Li4vTxxx9r8+bNevLJJ0P6jJ/85Cd67rnnNHnyZI0ePVrFxcV69dVXJR2/6tS1a1cdOHBA7733nvr27at27dr5r2gBiCxuBQcQktTUVK1cuVIjRozQOeeco0ceeUTPPvushg8fLkkaM2aM/vCHP+jVV1/Vueeeq0suuUSvvvpqo8Rk+vTpmjFjhvr27atVq1bp7bff1ne+8x1J0rhx43TjjTfqlltu0fe//33t2bOnwVWc5rjqqqv017/+VStWrNAFF1yggQMH6rnnnlOXLl1C/ozs7GwtXLhQixYtUp8+fZSfn6+HH35YkpSUlCRJGjRokMaNG6dbbrlFZ5xxhp5++ukWxQ2g+TxWOAPHANBMZWVlys7O1qZNm1o0QdgUTz31lGbPnq1du3ZFOxQAJ2BYCgBC8Pvf/14XXHCBOnTooA8++EC/+c1v/HOFAJiF5AYAQrB9+3Y9+eST2rt3rzp37qyf/exnmjJlSrTDAhAAw1IAAMBVmFAMAABcheQGAAC4CskNAABwFZIbAADgKiQ3AADAVUhuAACAq5DcAAAAVyG5AQAArvL/AWHvEPxj7KtnAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(df[:50]['sepal length'], df[:50]['sepal width'], label='0')\n",
    "plt.scatter(df[50:100]['sepal length'], df[50:100]['sepal width'], label='1')\n",
    "plt.xlabel('sepal length')\n",
    "plt.ylabel('sepal width')\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "data = np.array(df.iloc[:100, [0, 1, -1]])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "X, y = data[:,:-1], data[:,-1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "y = np.array([1 if i == 1 else -1 for i in y])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Perceptron"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 数据线性可分，二分类数据\n",
    "# 此处为一元一次线性方程\n",
    "class Model:\n",
    "    def __init__(self):\n",
    "        self.w = np.ones(len(data[0]) - 1, dtype=np.float32)\n",
    "        self.b = 0\n",
    "        self.l_rate = 0.1\n",
    "        # self.data = data\n",
    "\n",
    "    def sign(self, x, w, b):\n",
    "        y = np.dot(x, w) + b\n",
    "        return y\n",
    "\n",
    "    # 随机梯度下降法\n",
    "    def fit(self, X_train, y_train):\n",
    "        is_wrong = False\n",
    "        while not is_wrong:\n",
    "            wrong_count = 0\n",
    "            for d in range(len(X_train)):\n",
    "                X = X_train[d]\n",
    "                y = y_train[d]\n",
    "                if y * self.sign(X, self.w, self.b) <= 0:\n",
    "                    self.w = self.w + self.l_rate * np.dot(y, X)\n",
    "                    self.b = self.b + self.l_rate * y\n",
    "                    wrong_count += 1\n",
    "            if wrong_count == 0:\n",
    "                is_wrong = True\n",
    "        return 'Perceptron Model!'\n",
    "\n",
    "    def score(self):\n",
    "        pass"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'Perceptron Model!'"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "perceptron = Model()\n",
    "perceptron.fit(X, y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\YI\\AppData\\Local\\Temp\\ipykernel_7564\\3404503885.py:5: UserWarning: color is redundantly defined by the 'color' keyword argument and the fmt string \"bo\" (-> color='b'). The keyword argument will take precedence.\n",
      "  plt.plot(data[:50, 0], data[:50, 1], 'bo', color='blue', label='0')\n",
      "C:\\Users\\YI\\AppData\\Local\\Temp\\ipykernel_7564\\3404503885.py:6: UserWarning: color is redundantly defined by the 'color' keyword argument and the fmt string \"bo\" (-> color='b'). The keyword argument will take precedence.\n",
      "  plt.plot(data[50:100, 0], data[50:100, 1], 'bo', color='orange', label='1')\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x2be47c8acb0>"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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ZeYhefSfF++9dxRTvBi6ymBqrOJLdljpw4ABycnIQGhoKR0dHODo6IikpCfPnz4ejoyMM1VyT9fLyQnZ2doVtOTk5cHR0RNOmTavdz5QpU5Cbm1v+k5GRYZPjISIyBauv092MRgFLk8/h6U934kR2Ppo2cMbSF8MQG9mZgY0FJBu5vn374siRIxW2vfTSSwgMDMTkyZOhr2at9/DwcGzatKnCtq1btyIsLAxOTk7V7sfFxQUuLtqriEpE8sTq61Tm0vVbmPjdIew6exUA0DfQAzOHBKGZG7+zLCVZcOPm5oZOnTpV2NagQQM0bdq0fPuUKVOQmZmJFStWAADGjBmDzz77DDExMXjllVewe/dufPHFF/j222/t3n8iorpg9XUCxBTvdzccRV5pive7T3bA37syxdtaJM+Wqk1WVhYuXrxY/jggIAA//fQTEhMTERISgv/85z+YP38+17ghIkVh9XXtyr11J8U773YJgktTvJ9/mCne1qQThOoujKpXXl4eGjVqhNzcXLi7u0vdHSLSMIOB1de1ZNfZK5i49hAulVbxHt+nDcY/2gZOrOJtEnO+vzlbiYhIIqy+rg1lKd5Lf0uHIDDF2x4Y3BAREdlI1RRvX7wzqAMzoWyMo0tEslFUBCxYAJw9C7RuDYwdCzg7S90rIvMZjQK+3JmOWT+fRJHBiKYNnDFzSBAeZ7FLu2BwQ0SyMGkSMGdOxbIDEycCMTHArFnS9YvIXEzxlh6DGyKS3KRJwOzZVbcbDHe2M8AhJdh46BLeWX+kPMX7nSfb43kWu7Q7ZksRkaSKigBX19oLRer1QEEBb1GRfOXeKsZ73x/F96mXAADBvo0x99lgtGrWUOKeqYc539/MPyMiSS1YcO8K2AaD2I5IjnadvYIBcTvwfapYxfv1vmIVbwY20uFtKSKS1Nmz1m1HZC+FJQZ8svUUliSfgyAAfqUp3g8yxVtyDG6ISFKtW1u3HZE9MMVb3jjnhogkxTk3pCTlKd5bTqKohCne9sQ5N0SkGM7OYrp3bWJiGNiQ9LJyb+GfX/6OGT+moajEiEcDPfBzdE8GNjLE62dEJLmyNO/K69zo9VznhuRh06FLmMoUb8XgbSkikg2uUExyk3urGO9/fxQbylK8fRph7vAQZkJJgIUziUiRnJ2B6Gipe0Ek2n32Kt5Ym4pLubfhoAPGP9oWr7GKtyIwuCEiIrpLYYkBc7aewmKmeCsWgxsiIqJSJ7PzEb0mFWlZeQCA5x7yxbtPMsVbafhpEanUrVvAm28Cp08DbduKNZrq15e6V+pjMADJyUBWFuDtDUREiBOhSVmMRgHLdp3HRz+fQFGJEU0aOGNmZGf06+glddeoDjihmEiFnnkG+P77qtsHDwY2bLB3b9QrIQGIigL++OPONh8fYN48IDJSun6RebJyxSreO8+IVbwfDfTAR6ziLTtc54ZIw2oKbABx+zPP2LM36pWQAAwdWjGwAYDMTHF7QoI0/SLz/HD4EvrP3YGdZ66inpMDZjzTCV+MCGNgo3C8ckOkIrduiav93ktBAW9RWcJgAPz9qwY2ZXQ68QpOejpvUclV3u1ivP/9MaxPyQTAFG8l4JUbIo16803rtqPqJSfXHNgAgCAAGRliO5KfPeeuYkBcMtanZMJBB7GK96vdGdioCCcUE6nI6dPWbUfVy8qybjuyj8ISA+ZsO4XFO+6keM95NgShfkzxVhsGN0Qq0rYtsHWrae2o7ry9rduObO/Un/mIWs0Ub63gnBsiFeGcG/som3OTmSnegqqMc27kgyne6sE5N0QaVb++mO5dm8GDGdhYSq8X070BMZC5W9njuDgGNlLLzr2NF7/ci//8cBxFJUb0adcMP0dHMLDRAAY3RCqzYUPNAQ7XubGeyEhg3TqgRYuK2318xO1c50ZaPxy+hP5xO/DbmSvlKd5fjnwIHm71pO4a2QFvSxGpFFcotg+uUCwvlVO8g0pTvFszE0rxzPn+ZnBDRESq8Pu5q4hZewiZ12+JVbz7tMFrfduyirdKmPP9zWniRESkaJVTvFs2Eat4M8VbuxjcEKmUVLdLLNkvb/GQuU79mY/o1ak4XpriPTzMF+8+1QENmeKtafz0iVRIqoKOluyXRSjJHEajgOW7zmPmXSnesZGd0Z+ZUATOuZG6O0RWV1bQsfL/2WUpyrbK5LFkv1L1mZQpO/c23lx3CMmnrwAAerdrhllDg5gJpXKcUFwLBjekZlIVdLRkvyxCSeb48XAW3l5/BLm3ilHPyQFTB3XAPx5uCV3lBYdIdbiIH5FGSVXQ0ZL9sgglmSLvdjFi1qRi3KqDyL1VjCCfRvjx9Qj8s5sfAxuqgnNuiFREqoKOluyXRSjpXvam/4UJa1LLU7zH9WmD15niTbVgcEOkIlIVdLRkvyxCSTUpKjFizrZT+O+Os3eleAcj1K+J1F0jmeOcGyIVkaqgoyX7ZRFKqk7lFO9nw3zw3lMdmeKtYZxzQ6RRUhV0tGS/LEJJdzMaBSzbmY4nP/0Nx7PycJ+rE/77z1DMGhrMwIZMxuCGSGWkKuhoyX5ZhJIAMcV7xLK9mL5JrOLdu10zbInuybVryGy8LUWkUlyhmJTkpyNZmJJwV4r3wPb4BzOh6C5c56YWDG6IiOQj73Yxpm08hoSDYhXvzi3EKt5tPFjFmypi4UwiIpI9pniTrTC4ISIiuyoqMWLuL6ewKElM8fZtUh9xw0OY4k1Ww+CGFEWJczI4B4XojtN/5iN6TSqOXWKKN9kOzyZSDCVWjWaVbCKR0Shgxe7ziN18AoUlRtzn6oTYyCA80YmZUGR9nFBMiqDEqtGskk0k+jPvNiZ+d6eKd68HmmH20CB4uLOKN5mO2VK1YHCjPEqsGs0q2USin46IVbyvFxTDxdEB7wxiijfVDVcoJlVRYtVoVskmrcu/XYyYtakY+81BXC8oRucWpVW8w/0Z2JDNcc4NyZ4Sq0azSjZp2d70vxCzNhV/XBNTvMf2FlO8nR359zTZB4Mbkj0lVo1mlWzSoupSvOc+G4Iwf6Z4k31xzg3JnhKrRrNKNmlN5RTvYaE+eO+pDnCr5yRxz0gtOOeGVEWJVaNZJZu0wmgUsLy0ivexS2IV70X/eBCzhwUzsCHJMLghRVBi1WhWySa1+zNPrOI9bdNxFJYY0esBsYr3E514z5SkxdtSpChKXLGXKxSTGlVO8Z46qD3+yRRvsiGuc1MLBjdERHWXf7sY0zYeR/xBcb2CTi3cETc8BG083CTuGakdq4ITEZHVVU7xfrV3a0T1fYAp3iQ7DG6IZKyoCFiwADh7FmjdGhg7FnB2tv1rlXg7TIl9VorKKd4+99XH3OEheIgp3iRTkobbCxcuRFBQENzd3eHu7o7w8HBs3ry5xvaJiYnQ6XRVfk6cOGHHXhPZx6RJgKsrMGEC8Nln4r+uruJ2W742IUFMRe/TB3j+efFff39xu1wpsc9KcSYnH39bsBMLE8XAZmioDzZHRTCwIVmT9MqNj48PZs6ciTZt2gAAvvrqKwwePBgpKSno2LFjja87efJkhfttzZo1s3lfiexp0iRg9uyq2w2GO9tnzbL+a2sq2JmZKW6XY6aWEvusBIIg4Ktdd6p4N3Z1QuzfOmNAZ2ZCkfzJbkJxkyZNMHv2bIwePbrKc4mJiejTpw+uXbuGxo0b1+n9OaGY5K6oSLzKYjDU3EavBwoKqt5msuS1SizYqcQ+K8Gfebfx5rrD2HHqMgCgZ2kVb09W8SYJKXIRP4PBgNWrV+PmzZsIDw+vtW2XLl3g7e2Nvn37Yvv27bW2LSwsRF5eXoUfIjlbsKD24AQQn1+wwLqvVWLBTiX2We42H8lC/7gd2HHqMlwcHTD96Y746qWHGNiQokg+ofjIkSMIDw/H7du30bBhQ6xfvx4dOnSotq23tzcWL16M0NBQFBYW4uuvv0bfvn2RmJiInj17Vvua2NhYTJ8+3ZaHQGRVZ8/WvZ0lr1ViwU4l9lmuKqd4d2zujnnPMcWblEny4KZdu3ZITU3F9evXER8fjxEjRiApKanaAKddu3Zo165d+ePw8HBkZGTg448/rjG4mTJlCmJiYsof5+XlwdfX1/oHQmQlrVvXvZ0lr1ViwU4l9lmO9p3/CxPWiCneOh3waq/WiH6MKd6kXLKbc/PYY4+hdevW+O9//2tS+w8++AArV65EWlqaSe0554bkTuo5N0oq2KnEPstJUYkRcaUp3kameJPMKXLOTRlBEFBYWGhy+5SUFHjzzzJSEWdn4K6LjdWKial+zRpLXqvEgp1K7LNcnMm5gciFO7EgUQxshjzIFG9SD0lvS7399tsYMGAAfH19kZ+fj9WrVyMxMRE///wzAPGWUmZmJlasWAEAiIuLg7+/Pzp27IiioiKsXLkS8fHxiI+Pl/IwiKyuLFV7zpyKV2H0ejE4qSmV29LXlhXsjIqqOFHXx0cMEuSYUq3EPktJEASs2H0BH/6UxhRvUi1Jb0uNHj0av/76K7KystCoUSMEBQVh8uTJePzxxwEAI0eOxPnz55GYmAgAmDVrFhYvXozMzEzUr18fHTt2xJQpUzBw4ECT98nbUqQkXKHYdErss71VTvGOaHs/Ph4WzEwoUgQWzqwFgxsi0qKfj2bhrYQ7VbzfHtgeL4azijcpBwtnEhERADHFe/qm41h34E6Kd9zwELT1ZIo3qReDGyIilWKKN2lVnYKbX3/9Fb/++itycnJgNBorPPfll19apWNE1ZFqXoUl81ek2q8lY6W1cVabohIj5v16CgtLM6FaNBZTvLsG3JUJZTQAl5OBW1lAfW+gWQTgwElKpA5mz7mZPn06/v3vfyMsLAze3t5V7teuX7/eqh20Ns65Ua6EhOozYubNs21GzKRJdcs8knK/loyV1sZZbc7k3ED0mhQczRRLzQx50AfTnu4At3pOdxplJAAHooCCuz5kVx8gdB7gy/Qykiezvr8FM3l5eQkrVqww92WykZubKwAQcnNzpe4KmSE+XhB0OkEQl2q786PTiT/x8bbZ75tvVt3n3T9vvim//VoyVlobZzUxGo3CV7vShXbv/CT4Tf5BCJ6+Rfjx8KWqDS/GC8I3OkH4BpV+dOLPRRt9yEQWMuf72+wrN02bNsXevXvR2tR13mWGV26UR6rKz5as9ivVfi0ZK62Ns5rklKZ4J90rxdtoADb6V7xiU4FOvILzdDpvUZHs2HSF4pdffhmrVq2qc+eIzCVV5WdLKmxLtV9Lxkpr46wWPx/NRv+4HUgqreL9/lMd8NVLXatfu+Zyci2BDQAIQEGG2I5IwUyaUHx34Umj0YjFixfjl19+QVBQEJycnCq0nTNnjnV7SJonVeVnSypsS7VfS8ZKa+OsdDcKSzB94zF8V5ri3cFbrOJda4r3LRM/PFPbEcmUScFNSkpKhcchISEAgKNHj1q9Q0SVSVX52ZIK21Lt15Kx0to4K9n+839hwtpUZPwlpniP6dUaE0xJ8a5v4odnajsimeIKxSR7UlV+VvKcm7qMldbGWYmKDUbM++U0FiSeKU/xnvNsMB5u1dS0Nyifc5MJoLpf/ZxzQ/Jl0zk3o0aNQn5+fpXtN2/exKhRo8x9O6J7kqrysyUVtqXaryVjpbVxVpozOTcQuWAXPtsuBjaRD7bA5ugI0wMbQAxYQks/ZFQuu1D6ODSOgQ0pn7mpWA4ODsKff/5ZZfvly5cFvV5v7tvZHVPBlSs+XhB8fCqmCPv62i49ucybbwqCXl9xv3q97dOTLdmvJWOltXGWu8op3kHTtgg/HKomxdscF+MFYb1PxVTw9b5MAydZs0kqeF5eHgRBwH333YfTp0+jWbNm5c8ZDAZs2rQJb731Fi5dumSjMMw6eFtK2bS2ci5XKNb2FZuc/NuYtO4wEk/eSfGePTQYXo2sUMWbKxSTwtikKriDg0Ot1WN1Oh2mT5+OqVOnmtdbO2NwQ0RK8PPRbExJOIxrBcVwdnTAlAGBGBHuDwcHVvEmbbJJVfDt27dDEAQ8+uijiI+PR5Mmd2qUODs7w8/PD82bN697r4mIqNoU77jnQvAAq3gTmczk4KZXr14AgPT0dLRs2bLWqzhEZB1KvLVEdXfgwl+YsOYQLv5VAJ0O+FfP1pjweFu4OPKDA8BbaWQyk4Kbw4cPV3h85MiRGtsGBQVZ1iMiAqDM4pdUNxaneGsBi32SGUyac1M230YQhHtesTHcax11iXHODSlBQgIwdGjV9WbK/vdbt67mIMWS15L9nb18AxPWpOLwH7kAgMguLTBtcEe413O6xys1JCMBSB6KqmvzlJ7UEesY4GiA1ScUX7hwofy/U1JSMHHiRLz55psIDw8HAOzevRuffPIJZs2ahWeeecay3tsYgxuSOyUWvyTzCYKAlXsu4IOf0nC72IhG9Z3w4d86Y1AQVweugMU+qZTVJxT7+fmV//ewYcMwf/58DBw4sHxbUFAQfH198e6778o+uCGSO3MKWPbubb3Xkv1UTvHu0Uas4m2VFG+1MafYp2dve/WKZM7kCcVljhw5goCAgCrbAwICcPz4cat0ikjLlFj8kky35Vg2piQcwV83i+Ds6IC3ngjEyO5M8a4Ri31SHZhdfqF9+/aYMWMGbt++Xb6tsLAQM2bMQPv27a3aOSItUmLxS7q3G4UlmLzuMP719QH8dbMI7b3d8cNrPTCqRwADm9qw2CfVgdmFM/fu3YunnnoKRqMRwcHBAIBDhw5Bp9Phhx9+QNeuXW3SUWvhnBuSOyUWv6TaHbhwDRPWpJaneP9fz1aIefwBpnibgsU+qZRNFvEr07VrV6Snp2PlypU4ceIEBEHA8OHD8fzzz6NBgwZ17jQRicoKWA4dKgYjdwcppha/rMtryfqKDUbM//U0Pt9+J8X7k2eD0Y0p3qYrK/aZPBRidtTdAQ6LfVL1zL5yo3S8ckNKUd1aNb6+YnBSl3VuTH0tWQdTvK2s2nVufMXAhmngmmD1VPCNGzdiwIABcHJywsaNG2tt+/TTT5vXWztjcENKwhWKlUcQBKz8/SI++PF4eYr3B3/rhCeDWJ7GYlyhWNOsHtw4ODggOzsbHh4ecHCoeQ6yTqfjIn5EpFk5+bcxed1hbGeKN5HVWX3OjdForPa/iYhItPVYNt66K8V78hOBeIkp3kSSMHtCcUFBAVxdXW3RFyIixblZWIJ/bzqONfszAADtvd0RNzwE7bxYxZtIKmYHN40bN0ZYWBh69+6NXr16oUePHsyS0iCp5nNYst+iImDBAuDsWaB1a2DsWMDZ2bb9tRTnzcjbgQvXELM2FReulqZ4R7RCTD87pnhzDorpOFb2IZNxNjtbavfu3UhKSkJiYiJ27dqF27dv48EHHywPdgYMGGCrvloF59xYTqqK05bsd9IkYM4cMVgoo9cDMTHArFm26a+lWNlbvooNRnz662l8JmWKN6tkm45jZR82HmerTyiuicFgwL59+7Bo0SJ88803MBqNnFCsclJVnLZkv5MmAbNn1/zeb74pvwCHlb3l61xpiveh0hTvZ0KaY/rgTmhU344p3qySbTqOlX3YYZxtHtycOHECiYmJ5VdwiouL0bNnT/Tq1QtRUVF17rg9MLipO6kqTluy36IiwNW14hWbyvR6oKBAPreoWNlbngRBwDe/X8SM0hRv93qO+OBvnfFUsJ1TvFkl23QcK/uw0zib8/1tdm0pLy8vPPLII/j111/Ro0cPbN26FVeuXEFCQoLsAxuyjDkVp+Wy3wULag9sAPH5BQss66M1STXOVLPL+YUY/dV+vLPhKG4XG9G9dVNsmdDT/oENYF6VbK3jWNmHDMfZ7AnFXl5eSEtLw8WLF3Hx4kX88ccfCAgIQMOGDW3RP5IRqSpOW7Lfs2dNe62p7eyBlb3lpXKK96T+7TDqEQmLXbJKtuk4VvYhw3E2O7hJTU3F9evXsWPHDiQlJeHdd9/FsWPHEBQUhD59+mDmzJm26CfJgFQVpy3Zb+vWpr3W1Hb2wMre8nCzsAT/+eE4Vu8TU7wDvdww77ku0qd4s0q26ThW9iHDcbZoQvFff/2FxMREfP/991i1ahUnFKucVBWnLdmvkufcsLK3dCRP8a4Nq2SbjmNlH3YaZ5vOuVm/fj2ioqIQHBwMDw8PvPrqq7h58ybmzp2Lw4cP17nTJH9lFaeBO1k7ZWxZcdqS/To7i+netYmJkU9gA0g3ziSmeM/ZehLDFu3ChasFaN6oHla93A1TBraXR2AD3KmSDaA8E6Ucq2RXwLGyDxmOs9lXbjw8PNCzZ0/07t0bvXv3RqdOnWzVN5vglRvLSVVx2pL9qmWdG1b2th1ZpHibg1WyTcexsg8bj7Pd1rlRIgY31sEViu2DKxTbXlmK9wc/puFWsUG6FO+6kMlqsIrAsbIPG44zg5taMLghojKX8wsxOf4w/nciBwDQvXVTfPJsMLwb1Ze4Z0RUmdWrghMRqc2243/irfjDuCqXFG8ishoGN6QovB1GlpJtijdRZSVFwJkFQP5ZwK010GYs4GiHXx4quIXH21KkGCzYSZY6ePEaJqy5k+L9SkQrvCGXFG+iu6VMAk7MAYS7fnno9EBgDNDFhr88ZFxklHNuasHgRplYsJMsUWww4tP/ncHn28/AYBTQvFE9fPJsCMJb27GKN5GpUiYBabX88mj/pm0CHJkXGbV6cBNpxrdGQkKCyW2lwOBGeViwkyxROcV7cEhz/FvOKd6kbSVFwHeuFa/YVKbTA8MKrHuLSgFFRq2+iF+jRo1M/iGyNhbspLoQU7wvYND833Doj1y413PE/L93wbznujCwIfk6s6D2wAYQnz9j5V8eMix+aQmTJhQvW7bM1v0gqhELdpK5LucX4q34w/j1rhTvj4cFo3ljpniTzOWb+EvB1HamkmHxS0swW4pkjwU7yRwVUrz1Dpj0BFO8SUHcTPylYGo7U8mw+KUl6jSheN26dVi7di0uXryIoqKiCs8dPHjQap2zBc65UR4W7CRT3CwswYwfj+PbvXdSvOOeC0GgF/8/JwWRfM6NfIuM2rRw5vz58/HSSy/Bw8MDKSkp6Nq1K5o2bYpz585hwIABde40UU1YsJPu5eDFaxg0Pxnf7s0Qq3j3bIXvxz/CwIaUx9FZTPeuTWCM9de7kWHxS0uYHdwsWLAAixcvxmeffQZnZ2dMmjQJ27Ztw+uvv47c3Fxb9JEIkZFi2nWLFhW3+/jYLg3c0v3OmiWme1cOfvR6poFbS7HBiLnbTmHYot04X1rF+5uXH8bbcqriTWSuLrPEdG9dpXNYp7ddGjggpnlHrANcK/3Cc/WRPA3cXGbflnJ1dUVaWhr8/Pzg4eGBbdu2ITg4GKdPn0a3bt1w9epVW/XVKnhbStm4QjGVSb9yE9FrUnEo4zoApniTCnGF4gpsWlvKy8sLV69ehZ+fH/z8/LBnzx4EBwcjPT0dGlsPkCSg1wO9eytrv87OQHS0NXujbYIg4Nu9GfjPD8dxq9gAt3qOmPFMJwwOaXHvFxMpiaMzEBht//066AHP3vbfrxWZHdw8+uij2LRpEx588EGMHj0aEyZMwLp167B//36zFvsjIjJX5RTv8FZiFW+meBPR3cy+LWU0GmE0GuHoKMZFa9euxW+//YY2bdpgzJgxcJb59XbeliJSpl+O/4nJTPEm0izF1JZauHAhFi5ciPPnzwMAOnbsiPfee6/WrKukpCTExMTg2LFjaN68OSZNmoQxY8aYvE8GN3dYMo9EqrkvUrFk3gzH2QzV3Ou/WSxgxo9p+HbvRQBiivfc4SFo723F/38tmdsg5fwEqfYt0zkZsmTJWHGcK7DpnBsAuHbtGr744gukpaVBp9Ohffv2eOmll9CkSROz3sfHxwczZ85EmzZtAABfffUVBg8ejJSUFHTs2LFK+/T0dAwcOBCvvPIKVq5ciZ07d2Ls2LFo1qwZhgwZUpdD0SxLKl1LVZ1bKtVV9p440bTK3hxnM1RTjbjIuTlmZv0fvs0Mg04HvNwjAG/0a4d6Tlb8BV9d9eWUiaZVX5aygrJU+5Zx1WjZsWSsOM4WMfvKTVJSEgYPHgx3d3eEhYUBAA4cOIDr169j48aN6NWrl0UdatKkCWbPno3Ro0dXeW7y5MnYuHEj0tLSyreNGTMGhw4dwu7du016f165sazStVTVuaViSWVvjrMZaqhGbCx9+Pbl9/H0U+PRvfX91t2vJdWXpaygLNW+ZV41WlYsGSuOc7VseluqU6dO6N69OxYuXAh96fVxg8GAsWPHYufOnTh69GidOm0wGPDdd99hxIgRSElJQYcOHaq06dmzJ7p06YJ5ZSurAVi/fj2effZZFBQUwMnp3imgWg9uLKl0LVV1bqlYssowx9kM96hGLEAHoX4LOAw+b91L8pasBCtlBWWp9q2AqtGyYclYcZxrZNMVis+ePYs33nijPLABAL1ej5iYGJytQxXAI0eOoGHDhnBxccGYMWOwfv36agMbAMjOzoanp2eFbZ6enigpKcGVK1eqfU1hYSHy8vIq/GiZJZWuparOLRVLKntznM1wj2rEOghwuPWH9asRW1J9WcoKylLtW2VVo23KkrHiOFuF2cHNgw8+WOG2UJm0tDSEhISY3YF27dohNTUVe/bswauvvooRI0bg+PHjNbbXVVoHv+zCU+XtZWJjY9GoUaPyH19fX7P7qCaWVLqWqjq3VCyp7M1xNoNU1Ygtqb4sZQVlqfatsqrRNmXJWHGcrcLsCcWvv/46oqKicObMGXTr1g0AsGfPHnz++eeYOXMmDh8+XN42KCjonu/n7OxcPqE4LCwM+/btw7x58/Df//63SlsvLy9kZ2dX2JaTkwNHR0c0bdq02vefMmUKYu4q8pOXl6fpAMeSStdSVeeWiiWVvTnOpjvwpwtCTWlo7WrEllRflrKCslT7VlnVaJuyZKw4zlZh9pwbB4faL/bodDoIggCdTgfDva7pV6Nv377w9fXF8uXLqzw3efJkbNq0qcKVnVdffRWpqamcUGwiSypdS1WdWyrWmHPDca5ZQVEJ/vNDGtbsTcdvgaPh5XQF1S9ZY6M5BlaZcyNBBWWp9q2AqtGyYclYcZxrZNM5N+np6bX+nDt3rvzfe3n77beRnJyM8+fP48iRI5g6dSoSExPxwgsvABCvurz44ovl7ceMGYMLFy4gJiYGaWlp+PLLL/HFF19g4sSJ5h6GZllS6Vqq6txSsaSyN8e5dikXr2HgvGR8u/cijNBjZ6N3Sm8t27EasSXVl6WsoCzVvlVWNdqmLBkrjrN1CBIaNWqU4OfnJzg7OwvNmjUT+vbtK2zdurX8+REjRgi9evWq8JrExEShS5cugrOzs+Dv7y8sXLjQrH3m5uYKAITc3FxrHIJixccLgo+PIIjXBsQfX19xuy1fq0RvvikIen3F49Xrxe33wnGuqLjEIMzddlJoNeVHwW/yD0K3D38Rdp6+LD55MV4Q1vsIwje487PeV9xuSwffFIRV+or7XaUXt9+LVH2Wct9SHrPSWDJWHOcqzPn+rtMKxV9//TUWLVqE9PR07N69G35+foiLi0NAQAAGDx5s/QjMirR+W+puXDnXdFyh2HLnS6t4p5ZW8X46uDn+M7gTGrnetYSDVCuycoViZexXibhCsdXYdJ2bhQsX4r333kN0dDQ++OADHD16FK1atcLy5cvx1VdfYfv27RZ13tYY3BDZl8Aq3kRkBTadc/Ppp59iyZIlmDp1aoW1bsLCwnDkyBHze0tEqnXlRiFeWbEfb68/glvFBnRr1QQ/R/dkYENENmV2Knh6ejq6dOlSZbuLiwtu3rxplU6R/KnpdgnZxq9pYhXvKzfEKt5v9m+H0T1kWsVbi7cOpDpmrd1KU+r5oXBmBzcBAQFITU2Fn59fhe2bN2+ucWVhUhfNFXQksxQUlWDGj2lY9btYxbudpxvinrNyFW9r0mJxQ6mOWWvFPpV6fqiA2XNuli1bhnfffReffPIJRo8ejaVLl+Ls2bOIjY3F0qVL8dxzz9mqr1bBOTeW0VxBRzJLasZ1TFiTivQr4lXcl3sEYGJ/K1fxtiYtFjeU6pi1VuxTqeeHjNl0QjEALFmyBDNmzEBGRgYAoEWLFpg2bVq1lbzlhsFN3WmuoCOZrMRgxOfbz2L+/07DYBTg5V4PnzwbjEfaWLmKtzVpsbihVMestWKfSj0/ZM6mE4oB4JVXXsGFCxeQk5OD7OxsZGRkKCKwIctorqAjmeT8lZsY9t/dmPvLKRiMAp4Kbo4t0T3lHdgA2ixuKNUxa63Yp1LPDxUxe87NrVu3IAgCXF1dcf/99+PChQuIi4tDhw4d0K9fP1v0kWRCcwUdqVaCIGD1PjHFu6BIgSneWixuKNUxa63Yp1LPDxUxO7gZPHgwIiMjMWbMGFy/fh1du3aFs7Mzrly5gjlz5uDVV1+1RT9JBrRW0JFqduVGId6KP4Jf0v4EAHRr1QSfPBuCFo3rS9wzM2ixuKFUx6y1Yp9KPT9UxOzbUgcPHkRERAQAYN26dfDy8sKFCxewYsUKzJ8/3+odJPmIiBDn1FSud1RGpwN8fcV2pF7/O/EnnojbgV/S/oSz3gFvDwzEqpe7KSuwAcSUXFcfVK3fU0YHuPqK7az5WilJdcxSjZfW9kvlzA5uCgoK4ObmBgDYunUrIiMj4eDggG7duuHChQtW7yDJhxYKOlLNCopK8Pb6Ixi1fD+u3CjCA54NsWHcI/i/nq3luXbNvWixuKFUx6y1Yp9KPT9UxOzgpk2bNtiwYQMyMjKwZcuW8nk2OTk5zD7SgMhIMd27RaVpFT4+TANXs9SM6xg0/7fytWtG9wjAxvE90KG5wv+f940UU3JdK53Qrj73TtW15LVSkuqYpRovre2XANQhFXzdunV4/vnnYTAY0LdvX2zduhUAEBsbix07dmDz5s026ai1MBXcOrhCsTYoMsW7LpS44q6luEKxuverQjZf5yY7OxtZWVkIDg6Gg4N48Wfv3r1wd3dHYGBg3XptJwxuiExz4apYxTvl4nUAwJNB3pjxTCc0djWxWjYRkRWZ8/1tdrYUAHh5ecHLy6vCtq5du9blrYhIZgRBwJp9Gfh3WYq3iyP+80wnDA5pDl1Ns8mJiGSkTsENEanT1RuFeCvhCLYdF1O8Hw5ogk+eDYbPfa4S94yIyHQMbogIgJjiPWndEVy5UQgnvQ4T+7XDyxGtoFdiJpQ9lRQBZxYA+WcBt9ZAm7GAo8pv3WntmJU4b0aJfbYiBjdEGldQVIIPfkzDN6WZUA94NkTc8C7Kz4Syh5RJwIk5gGC4a9tEIDAG6DJLun7ZktaOWYmVvZXYZyur04RiJeOEYqI7DpVW8T5XWsV71CMBmPSEjKt4y0nKJCBtds3Pt39TfV/2WjtmJVb2VmKfTWTzbCklY3BDJKZ4L0g8i3m/3knx/nhYMHq0VVmKt62UFAHfuVa8elGZTg8MK1DP7RqtHbMSK3srsc9msHlVcCJSrgtXb+LZ/+7GnG1iFe9BQd74OTqCgY05ziyo/UseEJ8/s8A+/bEHrR2zEit7K7HPNsI5N0QaIQgC1u7PwPRNd1K8//1MRzwT0oIp3ubKP2vddkqgtWNWYmVvJfbZRhjcEGnA1RuFmJJwBFuZ4m0dbq2t204JtHbMSqzsrcQ+2whvSxGp3PYTOegfl4ytx/+Ek16HtwYEYtUr3RjYWKLNWHF+SW10erGdWmjtmJVY2VuJfbYRBjdEKnWryIB3NhzBS8v34cqNwvIq3mN6tebaNZZydBZTn2sTGKOOibVltHbMSqzsrcQ+2wiDGyIVOpRxHYPmJ2PlHnHtmlGPiFW8OzZvJHHPVKTLLDH1ufLVDJ1efSnRZbR2zEqs7K3EPtsAU8GJVKTEYMTC0hTvEqMAT3cXfDIshJlQtqS11XoB7R2zElf7VWKf74Hr3NSCwQ2p1YWrNzFhTSoOllbxHhTkjQ9YxZuIVMLmVcGJSD4EQcB3+//A9E3HcJMp3kREDG6IlKxyinfXgCaYY40UbxVe0q6VVMcr5e0drX3GpCkMbogUavvJHLz53eHyKt5v9GuHV6xRxVtrRfekOl4pC1Bq7TMmzeGcGyKFuVVkwIc/peHrPRcAAG09GmLu8BB0amGFTCgVF92rllTHK2UBSq19xqQanFBcCwY3pGSH/7iO6DWpOHdZrOL90iP+mPxEoHWqeKu86F4VUh2vlAUotfYZk6qwcCaRypQYjPjsf6cRuWAXzl2+CU93F3w9uivef6qjdQIbQHtF96Q6XikLUGrtMybN4pwbIpm7eLUAE9am4sCFawCAQZ298cHfbJDirbWie1Idr5QFKLX2GZNmMbghkqnKKd4NXRzx78Ed8bcuNkrx1lrRPamOV8oClFr7jEmzeFuKSIb+ulmEMSsPYFL8YdwsMqCrfxNsjopA5IM+tlu7RmtF96Q6XikLUGrtMybNYnBDJDPbT+agf9wObDkmVvGe/EQgvv2/bvBtYuMq3loruifV8UpZgFJrnzFpFoMbIpm4VWTAuxuO4qVl+3A5vxBtPBpi/dhH8GpvO1bx1lrRPamOV8oClFr7jEmTmApOJANH/shF1JqU8hTvkd398dYAK6V414XWVq/lCsXq/4xJ8bjOTS0Y3JCcGIwCFiaeQdwvd6p4fzwsGBFtm0ndNSIiWWHhTCIFqJziPbCzFz54pjPua8Aq3kRElmBwQ2RngiDguwN/YPrGOyne05/uiMgHWcWbiMgaGNwQ2dFfN4swJeEwthwTq3g/5H8f5jwbYvtMKC2Qag6JJfvlvBcim2BwQ2QniSdz8Oa6w7icL1bxnvD4A/hXTztmQqmZVFWuLdkvK3MT2QwnFBPZ2K0iA2I3p2HFbrGKdxuPhoizVhVvkq7KtSX7ZWVuIrOxcCaRTBzNzMWTnyaXBzYju/vjh9d6MLCxFqNBvPpRJUjAnW0HosV2ctmvVH0m0hAGN0Q2YDAK+Hz7GTzz+U6cvXwTHm4uWDGqK6Y9bcUq3iRdlWtL9svK3EQ2xzk3RFaW8VcBJqxJxX6meNueVFWuLdkvK3MT2RyDGyIrEQQB6w78gWlM8bYfqapcW7JfVuYmsjkGN0RW8NfNIrydcAQ/H8sGwBRvuymrcl2QiernsOjE561d5dqS/UrVZyIN4ZwbIgslnbqM/nE78POxbDjpdZj0RDus/r9wBjb2IFWVa0v2y8rcRDbH4Iaojm4VGfD+90cx4su9Fap4j+3dhmvX2JNUVa4t2S8rcxPZFNe5IaqDo5m5iFqdgrNyqeJNXKGYSOVYOJPIRgxGAYuSzmLutlMoMQrwcHPB7GHB6PUAq3hLzkEPePZW1n6l6jORyjG4ITJRxl8FiFmbin3nxRTvAZ288OHfmOJNRCQ3DG6I7kEQBMQfzMS0jcdwo7AEDV0cMe3pjhgi9xRvrd3y4O0h9ePnRCaSNLiJjY1FQkICTpw4gfr166N79+746KOP0K5duxpfk5iYiD59+lTZnpaWhsDAQFt2lzTo2s0ivL3+CDYfFVO8w/zuw9zhCkjx1lpRRhawVD9+TmQGSbOlkpKSMG7cOOzZswfbtm1DSUkJ+vXrh5s3b97ztSdPnkRWVlb5T9u2be3QY9KSshTvzUez4eigw5v922HNvxSQ4l1WlLHyEv8FmeL2jARp+mUrlhyv1sZKqfg5kZlklS11+fJleHh4ICkpCT179qy2TdmVm2vXrqFx48Zm74PZUnQvt4sNmLn5BJbvOg9AYVW8jQZgo38ttYtKF4h7Ol0dl/MtOV6tjZVS8XOiUoqtCp6bmwsAaNKkyT3bdunSBd7e3ujbty+2b99eY7vCwkLk5eVV+CGqiVjF+7fywEZxVby1VpSRBSzVj58T1YFsJhQLgoCYmBj06NEDnTp1qrGdt7c3Fi9ejNDQUBQWFuLrr79G3759kZiYWO3VntjYWEyfPt2WXScVKEvxjvvlFIoNCk7x1lpRRhawVD9+TlQHsgluxo8fj8OHD+O3336rtV27du0qTDgODw9HRkYGPv7442qDmylTpiAmJqb8cV5eHnx9fa3XcVK8yineT3T0QmykQlO8tVaUkQUs1Y+fE9WBLIKb1157DRs3bsSOHTvg4+Nj9uu7deuGlStXVvuci4sLXFxcLO0iqVB1Kd7vP9UBQ0N95J3iXRutFWVkAUv14+dEdSDpnBtBEDB+/HgkJCTgf//7HwICAur0PikpKfD2ZtROprt2swhjvzmIid8dwo3CEoT53YfNUREYFuar3MAG0F5RRhawVD9+TlQHkgY348aNw8qVK7Fq1Sq4ubkhOzsb2dnZuHXrVnmbKVOm4MUXXyx/HBcXhw0bNuD06dM4duwYpkyZgvj4eIwfP16KQyAF2qHUFG9Taa0oIwtYqh8/JzKTpKngNf2FvGzZMowcORIAMHLkSJw/fx6JiYkAgFmzZmHx4sXIzMxE/fr10bFjR0yZMgUDBw40aZ9MBdeuyinerZs1QNzwLujso5BMKHNpbTVXrlCsfvycNM2c729ZrXNjDwxutOloZi6i16TiTM4NAMCIcD+8NaA96jvzFyMRkRKwKjhRKYNRwH93iFW8iw0Cmrm5YPbQIPRu5yF114iIyEYY3JBqZfxVgDfWHsLe838BEFO8P4zsjCZKTPEmIiKTMbgh1REEAQkHM/F+aYp3A2c9pj3dUboUb84TsI+SIuDMAiD/LODWGmgzFnBkIEukRQxuSFWu3SzC1A1H8NORO1W85zwbgpZNJcqEYiVj+0iZBJyYAwiGu7ZNBAJjgC6zpOsXEUmCwQ2pxo5TlzHxu0PIyS+Eo4MOEx5/AGN6tYbeQaJ1a8oqGVdeeKyskjFTWK0jZRKQNrvqdsFwZzsDHCJNYbYUKZ4sU7xZydg+SoqA71wrXrGpTKcHhhXwFhWRwim2KjiRuY5m5uKpu6p4vxjuhx9ei5B+7RpWMraPMwtqD2wA8fkzC+zTHyKSBd6WIkUyGAUs3nEOc7adlGeKNysZ20f+Weu2IyJVYHBDilM5xbt/R0/ERgbJK8WblYztw621ddsRkSrwthQphpji/QcGzEvG3vN/oYGzHrOGBmHRP0LlFdgAdyoZVyn0V0YHuPqykrGl2owV59TURqcX2xGRZjC4IUW4XlCE8atSELNWrOId6ncfNkf1xLNyreLNSsb24egspnvXJjCGk4mJNIa3pUj2kk+LKd5/5okp3tGPtcWYXq3hqJd5bF5WybjadW7imAZuLWVp3pXXudHpuc4NkUYxFZxk63axAR/9fALLdp4HALRq1gBxw0MQ5NNY0n6ZjSsU2wdXKCZSNRbOJMU7dikX0atTcbq0ivc/u/nh7YEKreLtoAc8e0vdC/VzdAYCo6XuBRHJAIMbkhWDUcCS5HP4ZOudFO9ZQ4PQRy4p3kREJHsMbsjuDAYgORnIygK8vYGICECvB/64VoCYtYewN11M8e7XwRMzh8gsxdveeEvLdBwr9eNnTCZicEN2lZAAREUBf9w1v9bHR8Dfo65ic/4B5JdW8X7/qY4YFiZRFW+5YNFN03Gs1I+fMZmBE4rJbhISgKFDgapnnLih2TMHEdGvEHOlrOItFzUV3SxLI2fRzTs4VurHz5hg3vc3gxuyC4MB8PeveMWmIgGNm5Ug+w89XJxlnuJtayy6aTqOlfrxM6ZSLJxJspOcXFtgAwA6XL/shN27eEqy6KYZOFbqx8+Y6oDfJGQXWSbWhzS1naqx6KbpOFbqx8+Y6oDBDdmFh6dpdz+9WUeSRTfNwbFSP37GVAcMbsjm/rhWgEUn90DvdgtVJwSKdDrA11dMC9c8Ft00HcdK/fgZUx0wuCGbEQQB61P+wIC4ZOy78Be8+p8AAOh0FQOcsmzvuDhxvRvNY9FN03Gs1I+fMdUBgxuyidyCYrz2bQomrDmE/MISPNiyMXYuegDx8Tq0aFHxF5SPD7BuHRDJTM47yopuuraouN3Vh2mvlXGs1I+fMZmJqeBkdTvPXMEbaw8hO+829A46RPVti7G971TxrmmFYqoGV2Q1HcdK/fgZaxrXuakFgxvbuV1swKyfT+LLnekAgFb3N8Dc4SEI9m0sbceIiEjxWBWc7O74pTxEr0nBqT/FKt4vPNwSUwe1h6szTzEiIrIvfvOQRQxGAUuTz+GTradQZDDi/obOmDU0CI8GekrdNSIi0igGN1RnmddvIWZNKn4vreL9eAdPzIzsjKYNXSTuGRHdk1TzVzhvhuyAwQ2ZTRAEfJ96Ce9+fxT5t0vg6qzH+091wLNhvtqu4k2kFFJV2GZlb7ITTigms+QWFGPqhiP44bC41HmXlo0x99kQ+N/fQOKeEZFJpKqwzcreZCEWziSb2HnmCp6YtwM/HM6C3kGHmMcfwHf/CmdgQ6QURoN45aTalcJLtx2IFtupYb+kWbwtRfd0u9iA2VtO4ovfxBTvgNIU7xCmeBMpizkVtj17K3+/pFkMbqhWxy/lYcKaVJz8Mx8AU7yJFE2qCtus7E12xm8oqpbRKGDpb+fw8ZY7Kd4fDQlC3/ZM8SZSLKkqbLOyN9kZgxuqIvP6LbyxNhV7zokp3o+198TMIZ1xP1O8iZStrMJ2QSaqn/+iE5+3doVtqfZLmsUJxVTB96mZeCJuB/ac+wuuznrERnbGkhdDGdgQqYFUFbZZ2ZvsjMENAbhTxTtqdSryb5cgxLcxfno9An/v2pJr1xCpiVQVtlnZm+yI69wQdp25gje+O4SsXLGK92uPtsH4Pm3Kq3gTkQpxhWJSGBbOJJNUl+I959lgdGl5n8Q9IyKbc9BLk3Yt1X5JUxjcaFRaVh6iV99J8X7+4ZZ4hyneRESkAvwm05jqUrxnRgbhsQ5M8SYiInVgcKMhl67fwhtrD2H3uasAgMfae2DmkCBmQhERkaowuNGI71Mz8c4GsYp3fSc93nuqA557iFW8iYhIfRjcqFxuQTHe/f4oNh66BAAI8W2MucNDEMBil0REpFIMblSMKd5ERKRFDG5U6HaxAR9vOYmlpSne/k1dMXd4CFO8iYhIExjcqMyJbDHF+0S2mOL9965iincDF37URESkDfzGUwmjUcAXv6Vj9paTKDIY0bSBWMWbKd5ERKQ1DG5UgCneREREdzC4UbjvUzPx7oajyGOKNxEREQAGN4qVe6sY725gijcREVFlDG4UaNfZK5i49hAuMcWbiIioCgY3ClJYcifFWxCY4k1ERFQdBjcKwRRvIiIi00h6HyM2NhYPPfQQ3Nzc4OHhgWeeeQYnT5685+uSkpIQGhqKevXqoVWrVli0aJEdeisNo1HA0uRzePrTnTiRnY+mDZyx9MUwxEZ2ZmCjBUYD8GcicP5b8V+jQeoeERHJnqTfjklJSRg3bhweeughlJSUYOrUqejXrx+OHz+OBg2qnxibnp6OgQMH4pVXXsHKlSuxc+dOjB07Fs2aNcOQIUPsfAS2den6LUz87hB2nRVTvPsGiinezdyY4q0JGQnAgSig4I8721x9gNB5gG+kdP0iIpI5nSAIgtSdKHP58mV4eHggKSkJPXv2rLbN5MmTsXHjRqSlpZVvGzNmDA4dOoTdu3ffcx95eXlo1KgRcnNz4e7ubrW+W9vGQ5fwzvoj5Sne7z7ZAX/vyhRvzchIAJKHAqj8v2fp5x+xjgEOEWmKOd/fskqvyc3NBQA0adKkxja7d+9Gv379Kmzr378/9u/fj+LiYpv2zx5ybxUjanUKXv82BXm3SxDs2xg/RUXg+YdbMrDRCqNBvGJTJbDBnW0HonmLioioBrKZtCEIAmJiYtCjRw906tSpxnbZ2dnw9KxYUsDT0xMlJSW4cuUKvL29KzxXWFiIwsLC8sd5eXnW7bgVVU7xHt+nDcY/2gZOTPHWlsvJFW9FVSEABRliO8/e9uoVEZFiyCa4GT9+PA4fPozffvvtnm0rX8Eou7NW3ZWN2NhYTJ8+3TqdtJHCEgM+2XoKS5LPMcWbgFtZ1m1HRKQxsrgk8Nprr2Hjxo3Yvn07fHx8am3r5eWF7OzsCttycnLg6OiIpk2bVmk/ZcoU5Obmlv9kZGRYte+WOpGdh8Gf7cTiHWJg8/euvvjx9QgGNlpW3/vebcxpR0SkMZJeuREEAa+99hrWr1+PxMREBAQE3PM14eHh2LRpU4VtW7duRVhYGJycnKq0d3FxgYuL/LKLjEYBX+5Mx6yf71TxnjkkCI+zijc1ixCzogoyUf28G534fLMIe/eMiEgRJL1yM27cOKxcuRKrVq2Cm5sbsrOzkZ2djVu3bpW3mTJlCl588cXyx2PGjMGFCxcQExODtLQ0fPnll/jiiy8wceJEKQ6hTrJyb+EfX/yOGT+mochgRN9AD/wc3ZOBDYkc9GK6N4Dy7KhypY9D48R2RERUhaSp4DVl/yxbtgwjR44EAIwcORLnz59HYmJi+fNJSUmYMGECjh07hubNm2Py5MkYM2aMSfuUOhW8cor3O0+2x/NdmQlF1ah2nRtfMbBhGjgRaYw539+yWufGHqQKbnJvFeP9749iQ6pYxTvYtzHmPhuMVs0a2q0PpEBGg5gVdStLnGPTLIJXbIhIk8z5/pZNtpSa7T57FW+sTWWKN5nPQc90byIiMzG4saHKKd5+pSneDzITioiIyGYY3NjIyex8RK1OuauKty/eGdSBxS6JiIhsjN+0Vlae4r3lJIpKmOJNRERkbwxurCgrV6zivfOMWMX70UAPfMQq3kRERHbF4MZKDl68hpFf7mWKNxERkcQY3FhJW4+GcK/vhID7G2Du8BCmeBMREUmEwY2VuNVzwqqXu8G7cT2meBMREUmIwY0VtWzqKnUXiIiINI+XGIiIiEhVGNwQERGRqjC4ISIiIlVhcENERESqwuCGiIiIVIXBDREREakKgxsiIiJSFQY3REREpCoMboiIiEhVGNwQERGRqjC4ISIiIlVhcENERESqwuCGiIiIVEVzVcEFQQAA5OXlSdwTIiIiMlXZ93bZ93htNBfc5OfnAwB8fX0l7gkRERGZKz8/H40aNaq1jU4wJQRSEaPRiEuXLsHNzQ06nc6q752XlwdfX19kZGTA3d3dqu+tNhwr03GsTMexMg/Hy3QcK9PZaqwEQUB+fj6aN28OB4faZ9Vo7sqNg4MDfHx8bLoPd3d3nvwm4liZjmNlOo6VeThepuNYmc4WY3WvKzZlOKGYiIiIVIXBDREREakKgxsrcnFxwfvvvw8XFxepuyJ7HCvTcaxMx7EyD8fLdBwr08lhrDQ3oZiIiIjUjVduiIiISFUY3BAREZGqMLghIiIiVWFwQ0RERKrC4KaOYmNjodPpEB0dXWu7pKQkhIaGol69emjVqhUWLVpknw7KiCljlZiYCJ1OV+XnxIkT9uuoBKZNm1blmL28vGp9jVbPKXPHSqvnVJnMzEz84x//QNOmTeHq6oqQkBAcOHCg1tdo9dwCzB8vrZ5f/v7+1R73uHHjanyNFOeV5lYotoZ9+/Zh8eLFCAoKqrVdeno6Bg4ciFdeeQUrV67Ezp07MXbsWDRr1gxDhgyxU2+lZepYlTl58mSFFS2bNWtmq67JRseOHfHLL7+UP9br9TW21fo5Zc5YldHiOXXt2jU88sgj6NOnDzZv3gwPDw+cPXsWjRs3rvE1Wj636jJeZbR2fu3btw8Gg6H88dGjR/H4449j2LBh1baX7LwSyCz5+flC27ZthW3btgm9evUSoqKiamw7adIkITAwsMK2f/3rX0K3bt1s3Et5MGestm/fLgAQrl27Zrf+ycH7778vBAcHm9xey+eUuWOl1XNKEARh8uTJQo8ePcx6jZbPrbqMl5bPr7tFRUUJrVu3FoxGY7XPS3Ve8baUmcaNG4dBgwbhscceu2fb3bt3o1+/fhW29e/fH/v370dxcbGtuigb5oxVmS5dusDb2xt9+/bF9u3bbdg7+Th9+jSaN2+OgIAAPPfcczh37lyNbbV+TpkzVmW0eE5t3LgRYWFhGDZsGDw8PNClSxcsWbKk1tdo+dyqy3iV0eL5VaaoqAgrV67EqFGjaixELdV5xeDGDKtXr8bBgwcRGxtrUvvs7Gx4enpW2Obp6YmSkhJcuXLFFl2UDXPHytvbG4sXL0Z8fDwSEhLQrl079O3bFzt27LBxT6X18MMPY8WKFdiyZQuWLFmC7OxsdO/eHVevXq22vZbPKXPHSqvnFACcO3cOCxcuRNu2bbFlyxaMGTMGr7/+OlasWFHja7R8btVlvLR8fpXZsGEDrl+/jpEjR9bYRqrzinNuTJSRkYGoqChs3boV9erVM/l1laNZoXRB6JqiXDWoy1i1a9cO7dq1K38cHh6OjIwMfPzxx+jZs6etuiq5AQMGlP93586dER4ejtatW+Orr75CTExMta/R4jkFmD9WWj2nAMBoNCIsLAwffvghAPHqwrFjx7Bw4UK8+OKLNb5Oq+dWXcZLy+dXmS+++AIDBgxA8+bNa20nxXnFKzcmOnDgAHJychAaGgpHR0c4OjoiKSkJ8+fPh6OjY4UJVmW8vLyQnZ1dYVtOTg4cHR3RtGlTe3Xd7uoyVtXp1q0bTp8+bePeykuDBg3QuXPnGo9bq+dUde41VtXRyjnl7e2NDh06VNjWvn17XLx4scbXaPncqst4VUcr5xcAXLhwAb/88gtefvnlWttJdV7xyo2J+vbtiyNHjlTY9tJLLyEwMBCTJ0+uNmsjPDwcmzZtqrBt69atCAsLg5OTk037K6W6jFV1UlJS4O3tbYsuylZhYSHS0tIQERFR7fNaPaeqc6+xqo5WzqlHHnkEJ0+erLDt1KlT8PPzq/E1Wj636jJe1dHK+QUAy5Ytg4eHBwYNGlRrO8nOK5tOV1a5yhlAb731lvDPf/6z/PG5c+cEV1dXYcKECcLx48eFL774QnBychLWrVsnQW+lda+xmjt3rrB+/Xrh1KlTwtGjR4W33npLACDEx8dL0Fv7eeONN4TExETh3Llzwp49e4Qnn3xScHNzE86fPy8IAs+pu5k7Vlo9pwRBEPbu3Ss4OjoKH3zwgXD69Gnhm2++EVxdXYWVK1eWt+G5dUddxkvL55fBYBBatmwpTJ48ucpzcjmvGNxYoPIX9ogRI4RevXpVaJOYmCh06dJFcHZ2Fvz9/YWFCxfat5Myca+x+uijj4TWrVsL9erVE+677z6hR48ewo8//mj/jtrZ8OHDBW9vb8HJyUlo3ry5EBkZKRw7dqz8eZ5Td5g7Vlo9p8ps2rRJ6NSpk+Di4iIEBgYKixcvrvA8z62KzB0vLZ9fW7ZsEQAIJ0+erPKcXM4rnSCUzuwhIiIiUgFOKCYiIiJVYXBDREREqsLghoiIiFSFwQ0RERGpCoMbIiIiUhUGN0RERKQqDG6IiIhIVRjcEJGijBw5Es8880yNzy9fvhyNGze2W3/uxd/fH3FxcVJ3g0hTGNwQEVmB3IIqIi1jcENERESqwuCGiEy2bt06dO7cGfXr10fTpk3x2GOP4ebNm+XPL1u2DO3bt0e9evUQGBiIBQsWlD93/vx56HQ6rF69Gt27d0e9evXQsWNHJCYmlrcxGAwYPXo0AgICUL9+fbRr1w7z5s2zuN+bNm1CaGgo6tWrh1atWmH69OkoKSkpf16n02Hp0qX429/+BldXV7Rt2xYbN26s8B4bN25E27ZtUb9+ffTp0wdfffUVdDodrl+/jsTERLz00kvIzc2FTqeDTqfDtGnTyl9bUFCAUaNGwc3NDS1btsTixYstPiYiqoXNq1cRkSpcunRJcHR0FObMmSOkp6cLhw8fFj7//HMhPz9fEARBWLx4seDt7S3Ex8cL586dE+Lj44UmTZoIy5cvFwRBENLT0wUAgo+Pj7Bu3Trh+PHjwssvvyy4ubkJV65cEQRBEIqKioT33ntP2Lt3r3Du3Dlh5cqVgqurq7BmzZryfowYMUIYPHhwjf1ctmyZ0KhRo/LHP//8s+Du7i4sX75cOHv2rLB161bB399fmDZtWnmbsn6tWrVKOH36tPD6668LDRs2FK5evVredycnJ2HixInCiRMnhG+//VZo0aKFAEC4du2aUFhYKMTFxQnu7u5CVlaWkJWVVT4ufn5+QpMmTYTPP/9cOH36tBAbGys4ODgIaWlpVvlciKgqBjdEZJIDBw4IAITz589X+7yvr6+watWqCtv+85//COHh4YIg3AluZs6cWf58cXGx4OPjI3z00Uc17nfs2LHCkCFDyh+bG9xEREQIH374YYU2X3/9teDt7V3+GIDwzjvvlD++ceOGoNPphM2bNwuCIAiTJ08WOnXqVOE9pk6dWh7cVLffMn5+fsI//vGP8sdGo1Hw8PDQVMVtIntzlPCiEREpSHBwMPr27YvOnTujf//+6NevH4YOHYr77rsPly9fRkZGBkaPHo1XXnml/DUlJSVo1KhRhfcJDw8v/29HR0eEhYUhLS2tfNuiRYuwdOlSXLhwAbdu3UJRURFCQkLq3O8DBw5g3759+OCDD8q3GQwG3L59GwUFBXB1dQUABAUFlT/foEEDuLm5IScnBwBw8uRJPPTQQxXet2vXrib34e731ul08PLyKn9vIrI+BjdEZBK9Xo9t27Zh165d2Lp1Kz799FNMnToVv//+e3mAsGTJEjz88MNVXncvOp0OALB27VpMmDABn3zyCcLDw+Hm5obZs2fj999/r3O/jUYjpk+fjsjIyCrP1atXr/y/nZycqvTJaDQCAARBKO9jGUEQTO5Dbe9NRNbH4IaITKbT6fDII4/gkUcewXvvvQc/Pz+sX78eMTExaNGiBc6dO4cXXnih1vfYs2cPevbsCUC8snPgwAGMHz8eAJCcnIzu3btj7Nix5e3Pnj1rUZ8ffPBBnDx5Em3atKnzewQGBuKnn36qsG3//v0VHjs7O8NgMNR5H0RkPQxuiMgkv//+O3799Vf069cPHh4e+P3333H58mW0b98eADBt2jS8/vrrcHd3x4ABA1BYWIj9+/fj2rVriImJKX+fzz//HG3btkX79u0xd+5cXLt2DaNGjQIAtGnTBitWrMCWLVsQEBCAr7/+Gvv27UNAQECd+/3ee+/hySefhK+vL4YNGwYHBwccPnwYR44cwYwZM0x6j3/961+YM2cOJk+ejNGjRyM1NRXLly8HcOeqk7+/P27cuIFff/0VwcHBcHV1Lb+iRUT2xVRwIjKJu7s7duzYgYEDB+KBBx7AO++8g08++QQDBgwAALz88stYunQpli9fjs6dO6NXr15Yvnx5lcBk5syZ+OijjxAcHIzk5GR8//33uP/++wEAY8aMQWRkJIYPH46HH34YV69erXAVpy769++PH374Adu2bcNDDz2Ebt26Yc6cOfDz8zP5PQICArBu3TokJCQgKCgICxcuxNSpUwEALi4uAIDu3btjzJgxGD58OJo1a4ZZs2ZZ1G8iqjudYM6NYyKiOjp//jwCAgKQkpJi0QRhufjggw+waNEiZGRkSN0VIqqEt6WIiEywYMECPPTQQ2jatCl27tyJ2bNnl88VIiJ5YXBDRGSC06dPY8aMGfjrr7/QsmVLvPHGG5gyZYrU3SKiavC2FBEREakKJxQTERGRqjC4ISIiIlVhcENERESqwuCGiIiIVIXBDREREakKgxsiIiJSFQY3REREpCoMboiIiEhVGNwQERGRqvw/g5lXIaKy7QUAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x_points = np.linspace(4, 7, 10)\n",
    "y_ = -(perceptron.w[0] * x_points + perceptron.b) / perceptron.w[1]\n",
    "plt.plot(x_points, y_)\n",
    "\n",
    "plt.plot(data[:50, 0], data[:50, 1], 'bo', color='blue', label='0')\n",
    "plt.plot(data[50:100, 0], data[50:100, 1], 'bo', color='orange', label='1')\n",
    "plt.xlabel('sepal length')\n",
    "plt.ylabel('sepal width')\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### scikit-learn实例"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "import sklearn\n",
    "from sklearn.linear_model import Perceptron"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'1.2.1'"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sklearn.__version__"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<style>#sk-container-id-1 {color: black;background-color: white;}#sk-container-id-1 pre{padding: 0;}#sk-container-id-1 div.sk-toggleable {background-color: white;}#sk-container-id-1 label.sk-toggleable__label {cursor: pointer;display: block;width: 100%;margin-bottom: 0;padding: 0.3em;box-sizing: border-box;text-align: center;}#sk-container-id-1 label.sk-toggleable__label-arrow:before {content: \"▸\";float: left;margin-right: 0.25em;color: #696969;}#sk-container-id-1 label.sk-toggleable__label-arrow:hover:before {color: black;}#sk-container-id-1 div.sk-estimator:hover label.sk-toggleable__label-arrow:before {color: black;}#sk-container-id-1 div.sk-toggleable__content {max-height: 0;max-width: 0;overflow: hidden;text-align: left;background-color: #f0f8ff;}#sk-container-id-1 div.sk-toggleable__content pre {margin: 0.2em;color: black;border-radius: 0.25em;background-color: #f0f8ff;}#sk-container-id-1 input.sk-toggleable__control:checked~div.sk-toggleable__content {max-height: 200px;max-width: 100%;overflow: auto;}#sk-container-id-1 input.sk-toggleable__control:checked~label.sk-toggleable__label-arrow:before {content: \"▾\";}#sk-container-id-1 div.sk-estimator input.sk-toggleable__control:checked~label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-1 div.sk-label input.sk-toggleable__control:checked~label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-1 input.sk-hidden--visually {border: 0;clip: rect(1px 1px 1px 1px);clip: rect(1px, 1px, 1px, 1px);height: 1px;margin: -1px;overflow: hidden;padding: 0;position: absolute;width: 1px;}#sk-container-id-1 div.sk-estimator {font-family: monospace;background-color: #f0f8ff;border: 1px dotted black;border-radius: 0.25em;box-sizing: border-box;margin-bottom: 0.5em;}#sk-container-id-1 div.sk-estimator:hover {background-color: #d4ebff;}#sk-container-id-1 div.sk-parallel-item::after {content: \"\";width: 100%;border-bottom: 1px solid gray;flex-grow: 1;}#sk-container-id-1 div.sk-label:hover label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-1 div.sk-serial::before {content: \"\";position: absolute;border-left: 1px solid gray;box-sizing: border-box;top: 0;bottom: 0;left: 50%;z-index: 0;}#sk-container-id-1 div.sk-serial {display: flex;flex-direction: column;align-items: center;background-color: white;padding-right: 0.2em;padding-left: 0.2em;position: relative;}#sk-container-id-1 div.sk-item {position: relative;z-index: 1;}#sk-container-id-1 div.sk-parallel {display: flex;align-items: stretch;justify-content: center;background-color: white;position: relative;}#sk-container-id-1 div.sk-item::before, #sk-container-id-1 div.sk-parallel-item::before {content: \"\";position: absolute;border-left: 1px solid gray;box-sizing: border-box;top: 0;bottom: 0;left: 50%;z-index: -1;}#sk-container-id-1 div.sk-parallel-item {display: flex;flex-direction: column;z-index: 1;position: relative;background-color: white;}#sk-container-id-1 div.sk-parallel-item:first-child::after {align-self: flex-end;width: 50%;}#sk-container-id-1 div.sk-parallel-item:last-child::after {align-self: flex-start;width: 50%;}#sk-container-id-1 div.sk-parallel-item:only-child::after {width: 0;}#sk-container-id-1 div.sk-dashed-wrapped {border: 1px dashed gray;margin: 0 0.4em 0.5em 0.4em;box-sizing: border-box;padding-bottom: 0.4em;background-color: white;}#sk-container-id-1 div.sk-label label {font-family: monospace;font-weight: bold;display: inline-block;line-height: 1.2em;}#sk-container-id-1 div.sk-label-container {text-align: center;}#sk-container-id-1 div.sk-container {/* jupyter's `normalize.less` sets `[hidden] { display: none; }` but bootstrap.min.css set `[hidden] { display: none !important; }` so we also need the `!important` here to be able to override the default hidden behavior on the sphinx rendered scikit-learn.org. See: https://github.com/scikit-learn/scikit-learn/issues/21755 */display: inline-block !important;position: relative;}#sk-container-id-1 div.sk-text-repr-fallback {display: none;}</style><div id=\"sk-container-id-1\" class=\"sk-top-container\"><div class=\"sk-text-repr-fallback\"><pre>Perceptron()</pre><b>In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook. <br />On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.</b></div><div class=\"sk-container\" hidden><div class=\"sk-item\"><div class=\"sk-estimator sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-1\" type=\"checkbox\" checked><label for=\"sk-estimator-id-1\" class=\"sk-toggleable__label sk-toggleable__label-arrow\">Perceptron</label><div class=\"sk-toggleable__content\"><pre>Perceptron()</pre></div></div></div></div></div>"
      ],
      "text/plain": [
       "Perceptron()"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "clf = Perceptron(fit_intercept=True, \n",
    "                 max_iter=1000, \n",
    "                 shuffle=True)\n",
    "clf.fit(X, y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[ 23.2 -38.7]]\n"
     ]
    }
   ],
   "source": [
    "# Weights assigned to the features.\n",
    "print(clf.coef_)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[-5.]\n"
     ]
    }
   ],
   "source": [
    "# 截距 Constants in decision function.\n",
    "print(clf.intercept_)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x2be48737f10>"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x1000 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 画布大小\n",
    "plt.figure(figsize=(10,10))\n",
    "\n",
    "# 中文标题\n",
    "plt.rcParams['font.sans-serif']=['SimHei']\n",
    "plt.rcParams['axes.unicode_minus'] = False\n",
    "plt.title('鸢尾花线性数据示例')\n",
    "\n",
    "plt.scatter(data[:50, 0], data[:50, 1], c='b', label='Iris-setosa',)\n",
    "plt.scatter(data[50:100, 0], data[50:100, 1], c='orange', label='Iris-versicolor')\n",
    "\n",
    "# 画感知机的线\n",
    "x_ponits = np.arange(4, 8)\n",
    "y_ = -(clf.coef_[0][0]*x_ponits + clf.intercept_)/clf.coef_[0][1]\n",
    "plt.plot(x_ponits, y_)\n",
    "\n",
    "# 其他部分\n",
    "plt.legend()  # 显示图例\n",
    "plt.grid(False)  # 不显示网格\n",
    "plt.xlabel('sepal length')\n",
    "plt.ylabel('sepal width')\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x2be487c0700>"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x1000 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "clf = Perceptron(fit_intercept=True, \n",
    "                 max_iter=1000,\n",
    "                 tol=None,\n",
    "                 shuffle=True)\n",
    "clf.fit(X, y)\n",
    "\n",
    "# 画布大小\n",
    "plt.figure(figsize=(10,10))\n",
    "\n",
    "# 中文标题\n",
    "plt.rcParams['font.sans-serif']=['SimHei']\n",
    "plt.rcParams['axes.unicode_minus'] = False\n",
    "plt.title('鸢尾花线性数据示例')\n",
    "\n",
    "plt.scatter(data[:50, 0], data[:50, 1], c='b', label='Iris-setosa',)\n",
    "plt.scatter(data[50:100, 0], data[50:100, 1], c='orange', label='Iris-versicolor')\n",
    "\n",
    "# 画感知机的线\n",
    "x_ponits = np.arange(4, 8)\n",
    "y_ = -(clf.coef_[0][0]*x_ponits + clf.intercept_)/clf.coef_[0][1]\n",
    "plt.plot(x_ponits, y_)\n",
    "\n",
    "# 其他部分\n",
    "plt.legend()  # 显示图例\n",
    "plt.grid(False)  # 不显示网格\n",
    "plt.xlabel('sepal length')\n",
    "plt.ylabel('sepal width')\n",
    "plt.legend()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
